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Finding the Fourth Proportional to 62,321.44, 85,974.48 and 42,172

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Solution

The fourth proportional to 62,321.44, 85,974.48 and 42,172 is: 58,177.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,321.44 : 85,974.48 = 42,172 : x
  2. Step 2: Convert to fraction form
    62,321.44/85,974.48 = 42,172/x
  3. Step 3: Cross multiply
    62,321.44x = 85,974.48 × 42,172
  4. Step 4: Simplify right side
    62,321.44x = 3,625,715,770.56
  5. Step 5: Solve for x
    x = 3,625,715,770.56/62,321.44
  6. Step 6: Final answer
    x = 58,177.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.