ADJ by n
The 'higher' group
These adjectives are comparative or superlative adjectives indicating that someone or something has more of a quality than something else, or than it had before. The noun group following the preposition by is an amount. This pattern is ADJ by amount.
fastest higher lighter lower older richer shorter stronger weaker younger
This morning, the dollar is higher by a cent and a quarter.
You could be richer by up to £10,000 playing our fabulous online game.