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Finding the Fourth Proportional to 87,561, 120,834.34 and 47,817

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Solution

The fourth proportional to 87,561, 120,834.34 and 47,817 is: 65,987.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,561 : 120,834.34 = 47,817 : x
  2. Step 2: Convert to fraction form
    87,561/120,834.34 = 47,817/x
  3. Step 3: Cross multiply
    87,561x = 120,834.34 × 47,817
  4. Step 4: Simplify right side
    87,561x = 5,777,935,635.78
  5. Step 5: Solve for x
    x = 5,777,935,635.78/87,561
  6. Step 6: Final answer
    x = 65,987.55

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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.