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Finding the Fourth Proportional to 87,231, 120,378.78 and 47,487

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Solution

The fourth proportional to 87,231, 120,378.78 and 47,487 is: 65,532.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,231 : 120,378.78 = 47,487 : x
  2. Step 2: Convert to fraction form
    87,231/120,378.78 = 47,487/x
  3. Step 3: Cross multiply
    87,231x = 120,378.78 × 47,487
  4. Step 4: Simplify right side
    87,231x = 5,716,427,125.86
  5. Step 5: Solve for x
    x = 5,716,427,125.86/87,231
  6. Step 6: Final answer
    x = 65,532.06

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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.