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Finding the Fourth Proportional to 57,375.60, 85,879.22 and 30,654.82

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Solution

The fourth proportional to 57,375.60, 85,879.22 and 30,654.82 is: 45,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,375.60 : 85,879.22 = 30,654.82 : x
  2. Step 2: Convert to fraction form
    57,375.60/85,879.22 = 30,654.82/x
  3. Step 3: Cross multiply
    57,375.60x = 85,879.22 × 30,654.82
  4. Step 4: Simplify right side
    57,375.60x = 2,632,612,030.84
  5. Step 5: Solve for x
    x = 2,632,612,030.84/57,375.60
  6. Step 6: Final answer
    x = 45,883.83

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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.