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Finding the Fourth Proportional to 87,399, 120,610.74 and 47,655

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Solution

The fourth proportional to 87,399, 120,610.74 and 47,655 is: 65,763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,399 : 120,610.74 = 47,655 : x
  2. Step 2: Convert to fraction form
    87,399/120,610.74 = 47,655/x
  3. Step 3: Cross multiply
    87,399x = 120,610.74 × 47,655
  4. Step 4: Simplify right side
    87,399x = 5,747,704,814.70
  5. Step 5: Solve for x
    x = 5,747,704,814.70/87,399
  6. Step 6: Final answer
    x = 65,763.97

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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.