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Finding the Fourth Proportional to 57,321.60, 85,986.24 and 20,375.68

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Solution

The fourth proportional to 57,321.60, 85,986.24 and 20,375.68 is: 30,564.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321.60 : 85,986.24 = 20,375.68 : x
  2. Step 2: Convert to fraction form
    57,321.60/85,986.24 = 20,375.68/x
  3. Step 3: Cross multiply
    57,321.60x = 85,986.24 × 20,375.68
  4. Step 4: Simplify right side
    57,321.60x = 1,752,028,110.64
  5. Step 5: Solve for x
    x = 1,752,028,110.64/57,321.60
  6. Step 6: Final answer
    x = 30,564.88

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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.