All half decent powered speakers have a balanced input - a balanced cable is one that sends the original signal, plus that signal fully out of phase, and an earth - the idea being that when the out-of-phase signal is put back into phase at the speaker, any interference which has been imposed on the wire between source and speaker will become out-of phase, and cancel itself out.
This balanced connector is physically identical to a stereo jack (your 1/8" mini jack). Unforunately your 1/8" jack is Left, Right, and Earth, and when it's split into 2 1/4" jacks, they are unbalanced cables, with only signal and earth.
Solution? Dunno what your setup is, but those speakers will (probably, I could be completely wrong here, but I'm usually right) require a TRS (tip ring side) balanced jack input. Either you find a small mixer that outputs a balanced signal on 1/4", or you get the soldering iron out, buy a couple of stereo jack plugs, and wire them up to the 1/8" - obviously they won't be balanced signals, but as long as you solder to the right bits of the jack (guides online im sure) you'll get a signal (quieter -10db vs +4db), but a signal none-the-less. I think. That last bit might be wrong. But I'm sure I've done it. Cheap if it is wrong.