By default shipping rate quote are displayed from highest to lowest. In case you find it useful fo your potential customer to see the lowest shipping rate first, it is necessary to reverse the shipping rate qoute order.

To implement this process for ups shipping module, open your ups shipping module located in /include/module/shipping

Look for $upsQuote = $this->_upsGetQuote(); right below it add $upsQuote = array_reverse($upsQuote);

After the change you should have:

$upsQuote = $this->_upsGetQuote();

$upsQuote = array_reverse($upsQuote);