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Finding the Fourth Proportional to 81,402.57, 122,138.48 and 31,517.71

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Solution

The fourth proportional to 81,402.57, 122,138.48 and 31,517.71 is: 47,289.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,402.57 : 122,138.48 = 31,517.71 : x
  2. Step 2: Convert to fraction form
    81,402.57/122,138.48 = 31,517.71/x
  3. Step 3: Cross multiply
    81,402.57x = 122,138.48 × 31,517.71
  4. Step 4: Simplify right side
    81,402.57x = 3,849,524,581.79
  5. Step 5: Solve for x
    x = 3,849,524,581.79/81,402.57
  6. Step 6: Final answer
    x = 47,289.96

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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.