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Finding the Fourth Proportional to 206,397.95, 284,910.28 and 138,390.14

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Solution

The fourth proportional to 206,397.95, 284,910.28 and 138,390.14 is: 191,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,397.95 : 284,910.28 = 138,390.14 : x
  2. Step 2: Convert to fraction form
    206,397.95/284,910.28 = 138,390.14/x
  3. Step 3: Cross multiply
    206,397.95x = 284,910.28 × 138,390.14
  4. Step 4: Simplify right side
    206,397.95x = 39,428,773,902.94
  5. Step 5: Solve for x
    x = 39,428,773,902.94/206,397.95
  6. Step 6: Final answer
    x = 191,032.78

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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.