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Finding the Fourth Proportional to 57,581.85, 86,375.85 and 18,142.05

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Solution

The fourth proportional to 57,581.85, 86,375.85 and 18,142.05 is: 27,214.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,581.85 : 86,375.85 = 18,142.05 : x
  2. Step 2: Convert to fraction form
    57,581.85/86,375.85 = 18,142.05/x
  3. Step 3: Cross multiply
    57,581.85x = 86,375.85 × 18,142.05
  4. Step 4: Simplify right side
    57,581.85x = 1,567,034,989.49
  5. Step 5: Solve for x
    x = 1,567,034,989.49/57,581.85
  6. Step 6: Final answer
    x = 27,214.04

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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.