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Finding the Fourth Proportional to 78,765.87, 108,677.61 and 50,509.83

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Solution

The fourth proportional to 78,765.87, 108,677.61 and 50,509.83 is: 69,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,765.87 : 108,677.61 = 50,509.83 : x
  2. Step 2: Convert to fraction form
    78,765.87/108,677.61 = 50,509.83/x
  3. Step 3: Cross multiply
    78,765.87x = 108,677.61 × 50,509.83
  4. Step 4: Simplify right side
    78,765.87x = 5,489,287,605.91
  5. Step 5: Solve for x
    x = 5,489,287,605.91/78,765.87
  6. Step 6: Final answer
    x = 69,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.