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Finding the Fourth Proportional to 122.43, 168.79 and 101.69

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Solution

The fourth proportional to 122.43, 168.79 and 101.69 is: 140.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.43 : 168.79 = 101.69 : x
  2. Step 2: Convert to fraction form
    122.43/168.79 = 101.69/x
  3. Step 3: Cross multiply
    122.43x = 168.79 × 101.69
  4. Step 4: Simplify right side
    122.43x = 17,162.90
  5. Step 5: Solve for x
    x = 17,162.90/122.43
  6. Step 6: Final answer
    x = 140.19

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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.