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Finding the Fourth Proportional to 139,559.92, 209,245.12 and 71,002.97

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Solution

The fourth proportional to 139,559.92, 209,245.12 and 71,002.97 is: 106,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,559.92 : 209,245.12 = 71,002.97 : x
  2. Step 2: Convert to fraction form
    139,559.92/209,245.12 = 71,002.97/x
  3. Step 3: Cross multiply
    139,559.92x = 209,245.12 × 71,002.97
  4. Step 4: Simplify right side
    139,559.92x = 14,857,024,538.94
  5. Step 5: Solve for x
    x = 14,857,024,538.94/139,559.92
  6. Step 6: Final answer
    x = 106,456.24

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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.