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Finding the Fourth Proportional to 57,321.39, 85,978 and 15,200.53

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Solution

The fourth proportional to 57,321.39, 85,978 and 15,200.53 is: 22,799.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,321.39 : 85,978 = 15,200.53 : x
  2. Step 2: Convert to fraction form
    57,321.39/85,978 = 15,200.53/x
  3. Step 3: Cross multiply
    57,321.39x = 85,978 × 15,200.53
  4. Step 4: Simplify right side
    57,321.39x = 1,306,911,168.34
  5. Step 5: Solve for x
    x = 1,306,911,168.34/57,321.39
  6. Step 6: Final answer
    x = 22,799.71

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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.