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Finding the Fourth Proportional to 57,170.50, 85,761.69 and 15,617.50

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Solution

The fourth proportional to 57,170.50, 85,761.69 and 15,617.50 is: 23,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170.50 : 85,761.69 = 15,617.50 : x
  2. Step 2: Convert to fraction form
    57,170.50/85,761.69 = 15,617.50/x
  3. Step 3: Cross multiply
    57,170.50x = 85,761.69 × 15,617.50
  4. Step 4: Simplify right side
    57,170.50x = 1,339,383,193.58
  5. Step 5: Solve for x
    x = 1,339,383,193.58/57,170.50
  6. Step 6: Final answer
    x = 23,427.87

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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.