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Finding the Fourth Proportional to 123.28, 169.90 and 119.77

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Solution

The fourth proportional to 123.28, 169.90 and 119.77 is: 165.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.28 : 169.90 = 119.77 : x
  2. Step 2: Convert to fraction form
    123.28/169.90 = 119.77/x
  3. Step 3: Cross multiply
    123.28x = 169.90 × 119.77
  4. Step 4: Simplify right side
    123.28x = 20,348.92
  5. Step 5: Solve for x
    x = 20,348.92/123.28
  6. Step 6: Final answer
    x = 165.06

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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.