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Finding the Fourth Proportional to 78,287.53, 117,432.02 and 24,987.61

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Solution

The fourth proportional to 78,287.53, 117,432.02 and 24,987.61 is: 37,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,287.53 : 117,432.02 = 24,987.61 : x
  2. Step 2: Convert to fraction form
    78,287.53/117,432.02 = 24,987.61/x
  3. Step 3: Cross multiply
    78,287.53x = 117,432.02 × 24,987.61
  4. Step 4: Simplify right side
    78,287.53x = 2,934,345,517.27
  5. Step 5: Solve for x
    x = 2,934,345,517.27/78,287.53
  6. Step 6: Final answer
    x = 37,481.65

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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.