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Finding the Fourth Proportional to 57,201.72, 85,767.84 and 25,605.78

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Solution

The fourth proportional to 57,201.72, 85,767.84 and 25,605.78 is: 38,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,201.72 : 85,767.84 = 25,605.78 : x
  2. Step 2: Convert to fraction form
    57,201.72/85,767.84 = 25,605.78/x
  3. Step 3: Cross multiply
    57,201.72x = 85,767.84 × 25,605.78
  4. Step 4: Simplify right side
    57,201.72x = 2,196,152,442.12
  5. Step 5: Solve for x
    x = 2,196,152,442.12/57,201.72
  6. Step 6: Final answer
    x = 38,393.12

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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.