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Finding the Fourth Proportional to 87,167.10, 120,146.85 and 61,640.54

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Solution

The fourth proportional to 87,167.10, 120,146.85 and 61,640.54 is: 84,962.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,167.10 : 120,146.85 = 61,640.54 : x
  2. Step 2: Convert to fraction form
    87,167.10/120,146.85 = 61,640.54/x
  3. Step 3: Cross multiply
    87,167.10x = 120,146.85 × 61,640.54
  4. Step 4: Simplify right side
    87,167.10x = 7,405,916,713.30
  5. Step 5: Solve for x
    x = 7,405,916,713.30/87,167.10
  6. Step 6: Final answer
    x = 84,962.29

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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.