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Finding the Fourth Proportional to 57,729.70, 86,724.15 and 40,233.70

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Solution

The fourth proportional to 57,729.70, 86,724.15 and 40,233.70 is: 60,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,729.70 : 86,724.15 = 40,233.70 : x
  2. Step 2: Convert to fraction form
    57,729.70/86,724.15 = 40,233.70/x
  3. Step 3: Cross multiply
    57,729.70x = 86,724.15 × 40,233.70
  4. Step 4: Simplify right side
    57,729.70x = 3,489,233,433.86
  5. Step 5: Solve for x
    x = 3,489,233,433.86/57,729.70
  6. Step 6: Final answer
    x = 60,440.87

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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.