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Finding the Fourth Proportional to 138,070.97, 206,774.29 and 78,726.73

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Solution

The fourth proportional to 138,070.97, 206,774.29 and 78,726.73 is: 117,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,070.97 : 206,774.29 = 78,726.73 : x
  2. Step 2: Convert to fraction form
    138,070.97/206,774.29 = 78,726.73/x
  3. Step 3: Cross multiply
    138,070.97x = 206,774.29 × 78,726.73
  4. Step 4: Simplify right side
    138,070.97x = 16,278,663,306.14
  5. Step 5: Solve for x
    x = 16,278,663,306.14/138,070.97
  6. Step 6: Final answer
    x = 117,900.69

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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.