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Finding the Fourth Proportional to 122.61, 169.17 and 75.93

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Solution

The fourth proportional to 122.61, 169.17 and 75.93 is: 104.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.61 : 169.17 = 75.93 : x
  2. Step 2: Convert to fraction form
    122.61/169.17 = 75.93/x
  3. Step 3: Cross multiply
    122.61x = 169.17 × 75.93
  4. Step 4: Simplify right side
    122.61x = 12,845.08
  5. Step 5: Solve for x
    x = 12,845.08/122.61
  6. Step 6: Final answer
    x = 104.76

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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.