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Finding the Fourth Proportional to 149,617.56, 206,472.12 and 82,549.56

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Solution

The fourth proportional to 149,617.56, 206,472.12 and 82,549.56 is: 113,918.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,617.56 : 206,472.12 = 82,549.56 : x
  2. Step 2: Convert to fraction form
    149,617.56/206,472.12 = 82,549.56/x
  3. Step 3: Cross multiply
    149,617.56x = 206,472.12 × 82,549.56
  4. Step 4: Simplify right side
    149,617.56x = 17,044,182,658.27
  5. Step 5: Solve for x
    x = 17,044,182,658.27/149,617.56
  6. Step 6: Final answer
    x = 113,918.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.