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Finding the Fourth Proportional to 123.20, 169.96 and 79.46

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Solution

The fourth proportional to 123.20, 169.96 and 79.46 is: 109.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.20 : 169.96 = 79.46 : x
  2. Step 2: Convert to fraction form
    123.20/169.96 = 79.46/x
  3. Step 3: Cross multiply
    123.20x = 169.96 × 79.46
  4. Step 4: Simplify right side
    123.20x = 13,505.02
  5. Step 5: Solve for x
    x = 13,505.02/123.20
  6. Step 6: Final answer
    x = 109.62

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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.