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Finding the Fourth Proportional to 87,601, 120,889.92 and 47,857

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Solution

The fourth proportional to 87,601, 120,889.92 and 47,857 is: 66,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,601 : 120,889.92 = 47,857 : x
  2. Step 2: Convert to fraction form
    87,601/120,889.92 = 47,857/x
  3. Step 3: Cross multiply
    87,601x = 120,889.92 × 47,857
  4. Step 4: Simplify right side
    87,601x = 5,785,428,901.44
  5. Step 5: Solve for x
    x = 5,785,428,901.44/87,601
  6. Step 6: Final answer
    x = 66,042.96

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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.