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Finding the Fourth Proportional to 87,747.64, 131,640.90 and 40,975

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Solution

The fourth proportional to 87,747.64, 131,640.90 and 40,975 is: 61,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,747.64 : 131,640.90 = 40,975 : x
  2. Step 2: Convert to fraction form
    87,747.64/131,640.90 = 40,975/x
  3. Step 3: Cross multiply
    87,747.64x = 131,640.90 × 40,975
  4. Step 4: Simplify right side
    87,747.64x = 5,393,985,877.50
  5. Step 5: Solve for x
    x = 5,393,985,877.50/87,747.64
  6. Step 6: Final answer
    x = 61,471.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.