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Finding the Fourth Proportional to 78,500.86, 117,711.92 and 36,344.76

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Solution

The fourth proportional to 78,500.86, 117,711.92 and 36,344.76 is: 54,498.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,500.86 : 117,711.92 = 36,344.76 : x
  2. Step 2: Convert to fraction form
    78,500.86/117,711.92 = 36,344.76/x
  3. Step 3: Cross multiply
    78,500.86x = 117,711.92 × 36,344.76
  4. Step 4: Simplify right side
    78,500.86x = 4,278,211,481.54
  5. Step 5: Solve for x
    x = 4,278,211,481.54/78,500.86
  6. Step 6: Final answer
    x = 54,498.91

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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.