Ok, well if you're using Red, White, Yellow then they're for Stereo sound (Red & White) & the Yellow is for Composite video output.
So if you want to replicate this then you'll need a S-Video to Composite converter (A lot of Graphics cards come with that) & obviously a Composite video cable as well to connect to your TV. If your TV has an S-Video input you'd get better image using that, so use an S-Video cable if possible (No converter needed in that case).
As regards the Audio you'd want to connect a 3.5mm mini-jack to dual RCA outputs into the same colored inputs on the TV (Red/White). They'd be stuck into the Soundcards Front channel output (So set the Soundcard to 2 Speakers).