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Finding the Fourth Proportional to 57,342, 86,016.24 and 20,406

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Solution

The fourth proportional to 57,342, 86,016.24 and 20,406 is: 30,610.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,342 : 86,016.24 = 20,406 : x
  2. Step 2: Convert to fraction form
    57,342/86,016.24 = 20,406/x
  3. Step 3: Cross multiply
    57,342x = 86,016.24 × 20,406
  4. Step 4: Simplify right side
    57,342x = 1,755,247,393.44
  5. Step 5: Solve for x
    x = 1,755,247,393.44/57,342
  6. Step 6: Final answer
    x = 30,610.15

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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.