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Finding the Fourth Proportional to 123.26, 169.90 and 122.85

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Solution

The fourth proportional to 123.26, 169.90 and 122.85 is: 169.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.26 : 169.90 = 122.85 : x
  2. Step 2: Convert to fraction form
    123.26/169.90 = 122.85/x
  3. Step 3: Cross multiply
    123.26x = 169.90 × 122.85
  4. Step 4: Simplify right side
    123.26x = 20,871.91
  5. Step 5: Solve for x
    x = 20,871.91/123.26
  6. Step 6: Final answer
    x = 169.34

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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.