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Finding the Fourth Proportional to 278,721.50, 418,151.70 and 81,729.50

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Solution

The fourth proportional to 278,721.50, 418,151.70 and 81,729.50 is: 122,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,721.50 : 418,151.70 = 81,729.50 : x
  2. Step 2: Convert to fraction form
    278,721.50/418,151.70 = 81,729.50/x
  3. Step 3: Cross multiply
    278,721.50x = 418,151.70 × 81,729.50
  4. Step 4: Simplify right side
    278,721.50x = 34,175,329,365.15
  5. Step 5: Solve for x
    x = 34,175,329,365.15/278,721.50
  6. Step 6: Final answer
    x = 122,614.61

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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.