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Finding the Fourth Proportional to 123.72, 170.42 and 94.28

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Solution

The fourth proportional to 123.72, 170.42 and 94.28 is: 129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.72 : 170.42 = 94.28 : x
  2. Step 2: Convert to fraction form
    123.72/170.42 = 94.28/x
  3. Step 3: Cross multiply
    123.72x = 170.42 × 94.28
  4. Step 4: Simplify right side
    123.72x = 16,067.20
  5. Step 5: Solve for x
    x = 16,067.20/123.72
  6. Step 6: Final answer
    x = 129.87

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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.