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Finding the Fourth Proportional to 87,291.60, 120,462.56 and 49,565.84

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Solution

The fourth proportional to 87,291.60, 120,462.56 and 49,565.84 is: 68,400.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,291.60 : 120,462.56 = 49,565.84 : x
  2. Step 2: Convert to fraction form
    87,291.60/120,462.56 = 49,565.84/x
  3. Step 3: Cross multiply
    87,291.60x = 120,462.56 × 49,565.84
  4. Step 4: Simplify right side
    87,291.60x = 5,970,827,974.95
  5. Step 5: Solve for x
    x = 5,970,827,974.95/87,291.60
  6. Step 6: Final answer
    x = 68,400.95

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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.