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Finding the Fourth Proportional to 71,741.46, 107,614.91 and 36,640.11

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Solution

The fourth proportional to 71,741.46, 107,614.91 and 36,640.11 is: 54,961.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,741.46 : 107,614.91 = 36,640.11 : x
  2. Step 2: Convert to fraction form
    71,741.46/107,614.91 = 36,640.11/x
  3. Step 3: Cross multiply
    71,741.46x = 107,614.91 × 36,640.11
  4. Step 4: Simplify right side
    71,741.46x = 3,943,022,140.04
  5. Step 5: Solve for x
    x = 3,943,022,140.04/71,741.46
  6. Step 6: Final answer
    x = 54,961.55

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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.