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Finding the Fourth Proportional to 206,680,678.77, 309,972,042.64 and 59,123,689.29

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Solution

The fourth proportional to 206,680,678.77, 309,972,042.64 and 59,123,689.29 is: 88,671,523.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,680,678.77 : 309,972,042.64 = 59,123,689.29 : x
  2. Step 2: Convert to fraction form
    206,680,678.77/309,972,042.64 = 59,123,689.29/x
  3. Step 3: Cross multiply
    206,680,678.77x = 309,972,042.64 × 59,123,689.29
  4. Step 4: Simplify right side
    206,680,678.77x = 18,326,690,737,708,488
  5. Step 5: Solve for x
    x = 18,326,690,737,708,488/206,680,678.77
  6. Step 6: Final answer
    x = 88,671,523.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.