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Finding the Fourth Proportional to 71,540.92, 107,416.71 and 40,012.75

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Solution

The fourth proportional to 71,540.92, 107,416.71 and 40,012.75 is: 60,078.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.92 : 107,416.71 = 40,012.75 : x
  2. Step 2: Convert to fraction form
    71,540.92/107,416.71 = 40,012.75/x
  3. Step 3: Cross multiply
    71,540.92x = 107,416.71 × 40,012.75
  4. Step 4: Simplify right side
    71,540.92x = 4,298,037,963.05
  5. Step 5: Solve for x
    x = 4,298,037,963.05/71,540.92
  6. Step 6: Final answer
    x = 60,078.04

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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.