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Finding the Fourth Proportional to 278,707, 418,129.94 and 81,715

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Solution

The fourth proportional to 278,707, 418,129.94 and 81,715 is: 122,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,707 : 418,129.94 = 81,715 : x
  2. Step 2: Convert to fraction form
    278,707/418,129.94 = 81,715/x
  3. Step 3: Cross multiply
    278,707x = 418,129.94 × 81,715
  4. Step 4: Simplify right side
    278,707x = 34,167,488,047.10
  5. Step 5: Solve for x
    x = 34,167,488,047.10/278,707
  6. Step 6: Final answer
    x = 122,592.86

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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.