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Finding the Fourth Proportional to 57,753.42, 86,578.17 and 20,808.78

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Solution

The fourth proportional to 57,753.42, 86,578.17 and 20,808.78 is: 31,194.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,753.42 : 86,578.17 = 20,808.78 : x
  2. Step 2: Convert to fraction form
    57,753.42/86,578.17 = 20,808.78/x
  3. Step 3: Cross multiply
    57,753.42x = 86,578.17 × 20,808.78
  4. Step 4: Simplify right side
    57,753.42x = 1,801,586,092.33
  5. Step 5: Solve for x
    x = 1,801,586,092.33/57,753.42
  6. Step 6: Final answer
    x = 31,194.45

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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.