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Finding the Fourth Proportional to 57,242.27, 85,871.22 and 19,792.28

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Solution

The fourth proportional to 57,242.27, 85,871.22 and 19,792.28 is: 29,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.27 : 85,871.22 = 19,792.28 : x
  2. Step 2: Convert to fraction form
    57,242.27/85,871.22 = 19,792.28/x
  3. Step 3: Cross multiply
    57,242.27x = 85,871.22 × 19,792.28
  4. Step 4: Simplify right side
    57,242.27x = 1,699,587,468.16
  5. Step 5: Solve for x
    x = 1,699,587,468.16/57,242.27
  6. Step 6: Final answer
    x = 29,691.13

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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.