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Finding the Fourth Proportional to 122.62, 169.28 and 76

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Solution

The fourth proportional to 122.62, 169.28 and 76 is: 104.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.62 : 169.28 = 76 : x
  2. Step 2: Convert to fraction form
    122.62/169.28 = 76/x
  3. Step 3: Cross multiply
    122.62x = 169.28 × 76
  4. Step 4: Simplify right side
    122.62x = 12,865.28
  5. Step 5: Solve for x
    x = 12,865.28/122.62
  6. Step 6: Final answer
    x = 104.92

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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.