I'm fairly certain this would work, depending if the Altec Lansing PC speakers have a mini stereo output to connect via the adapter. Also are the speakers powered by the computer (passive) or do they have a plug of their own (active)?
Whoops sorry for late response. I dug up an old pair of speakers that came with my old Dell machine and plugged them in via adapter, and I am getting a pretty significant increase in range. Although it cannot go as loud as it did before. But I keep my volume pretty low anyway.