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Finding the Fourth Proportional to 71,143.92, 106,723.17 and 31,697.73

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Solution

The fourth proportional to 71,143.92, 106,723.17 and 31,697.73 is: 47,549.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.92 : 106,723.17 = 31,697.73 : x
  2. Step 2: Convert to fraction form
    71,143.92/106,723.17 = 31,697.73/x
  3. Step 3: Cross multiply
    71,143.92x = 106,723.17 × 31,697.73
  4. Step 4: Simplify right side
    71,143.92x = 3,382,882,227.40
  5. Step 5: Solve for x
    x = 3,382,882,227.40/71,143.92
  6. Step 6: Final answer
    x = 47,549.84

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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.