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Finding the Fourth Proportional to 87,773.82, 121,127.81 and 47,487.60

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Solution

The fourth proportional to 87,773.82, 121,127.81 and 47,487.60 is: 65,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,773.82 : 121,127.81 = 47,487.60 : x
  2. Step 2: Convert to fraction form
    87,773.82/121,127.81 = 47,487.60/x
  3. Step 3: Cross multiply
    87,773.82x = 121,127.81 × 47,487.60
  4. Step 4: Simplify right side
    87,773.82x = 5,752,068,990.16
  5. Step 5: Solve for x
    x = 5,752,068,990.16/87,773.82
  6. Step 6: Final answer
    x = 65,532.85

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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.