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Finding the Fourth Proportional to 57,757.20, 86,592.60 and 31,491.60

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Solution

The fourth proportional to 57,757.20, 86,592.60 and 31,491.60 is: 47,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,757.20 : 86,592.60 = 31,491.60 : x
  2. Step 2: Convert to fraction form
    57,757.20/86,592.60 = 31,491.60/x
  3. Step 3: Cross multiply
    57,757.20x = 86,592.60 × 31,491.60
  4. Step 4: Simplify right side
    57,757.20x = 2,726,939,522.16
  5. Step 5: Solve for x
    x = 2,726,939,522.16/57,757.20
  6. Step 6: Final answer
    x = 47,213.85

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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.