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Finding the Fourth Proportional to 87,658.86, 120,969.26 and 47,372.61

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Solution

The fourth proportional to 87,658.86, 120,969.26 and 47,372.61 is: 65,374.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,658.86 : 120,969.26 = 47,372.61 : x
  2. Step 2: Convert to fraction form
    87,658.86/120,969.26 = 47,372.61/x
  3. Step 3: Cross multiply
    87,658.86x = 120,969.26 × 47,372.61
  4. Step 4: Simplify right side
    87,658.86x = 5,730,629,575.97
  5. Step 5: Solve for x
    x = 5,730,629,575.97/87,658.86
  6. Step 6: Final answer
    x = 65,374.22

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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.