Finding the Fourth Proportional to 207,910,109,081.76, 286,917,635,160.64 and 115,212,511,971.18
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Solution
The fourth proportional to 207,910,109,081.76, 286,917,635,160.64 and 115,212,511,971.18 is: 158,994,200,049.64
Step by Step Solution
- Step 1: Write the proportion equation
207,910,109,081.76 : 286,917,635,160.64 = 115,212,511,971.18 : x - Step 2: Convert to fraction form
207,910,109,081.76/286,917,635,160.64 = 115,212,511,971.18/x - Step 3: Cross multiply
207,910,109,081.76x = 286,917,635,160.64 × 115,212,511,971.18 - Step 4: Simplify right side
207,910,109,081.76x = 33,056,501,475,687,891,206,144 - Step 5: Solve for x
x = 33,056,501,475,687,891,206,144/207,910,109,081.76 - Step 6: Final answer
x = 158,994,200,049.64
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.