Finding the Fourth Proportional to 98,375,131,902.21, 135,757,746,081.40 and 53,264,889,272.13
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Solution
The fourth proportional to 98,375,131,902.21, 135,757,746,081.40 and 53,264,889,272.13 is: 73,505,581,878.64
Step by Step Solution
- Step 1: Write the proportion equation
98,375,131,902.21 : 135,757,746,081.40 = 53,264,889,272.13 : x - Step 2: Convert to fraction form
98,375,131,902.21/135,757,746,081.40 = 53,264,889,272.13/x - Step 3: Cross multiply
98,375,131,902.21x = 135,757,746,081.40 × 53,264,889,272.13 - Step 4: Simplify right side
98,375,131,902.21x = 7,231,121,312,859,711,078,400 - Step 5: Solve for x
x = 7,231,121,312,859,711,078,400/98,375,131,902.21 - Step 6: Final answer
x = 73,505,581,878.64
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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.