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Finding the Fourth Proportional to 87,658.12, 120,968.24 and 47,371.87

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Solution

The fourth proportional to 87,658.12, 120,968.24 and 47,371.87 is: 65,373.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,658.12 : 120,968.24 = 47,371.87 : x
  2. Step 2: Convert to fraction form
    87,658.12/120,968.24 = 47,371.87/x
  3. Step 3: Cross multiply
    87,658.12x = 120,968.24 × 47,371.87
  4. Step 4: Simplify right side
    87,658.12x = 5,730,490,897.71
  5. Step 5: Solve for x
    x = 5,730,490,897.71/87,658.12
  6. Step 6: Final answer
    x = 65,373.19

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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.