Finding the Fourth Proportional to 161,962,253,917.05, 223,423,172,581.94 and 100,143,062,449.62
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Solution
The fourth proportional to 161,962,253,917.05, 223,423,172,581.94 and 100,143,062,449.62 is: 138,145,031,841.95
Step by Step Solution
- Step 1: Write the proportion equation
161,962,253,917.05 : 223,423,172,581.94 = 100,143,062,449.62 : x - Step 2: Convert to fraction form
161,962,253,917.05/223,423,172,581.94 = 100,143,062,449.62/x - Step 3: Cross multiply
161,962,253,917.05x = 223,423,172,581.94 × 100,143,062,449.62 - Step 4: Simplify right side
161,962,253,917.05x = 22,374,280,724,565,442,166,784 - Step 5: Solve for x
x = 22,374,280,724,565,442,166,784/161,962,253,917.05 - Step 6: Final answer
x = 138,145,031,841.95
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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.