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Finding the Fourth Proportional to 122.67, 169.07 and 102.92

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Solution

The fourth proportional to 122.67, 169.07 and 102.92 is: 141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.67 : 169.07 = 102.92 : x
  2. Step 2: Convert to fraction form
    122.67/169.07 = 102.92/x
  3. Step 3: Cross multiply
    122.67x = 169.07 × 102.92
  4. Step 4: Simplify right side
    122.67x = 17,399.32
  5. Step 5: Solve for x
    x = 17,399.32/122.67
  6. Step 6: Final answer
    x = 141.84

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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.