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Finding the Fourth Proportional to 122.91, 169.61 and 93.42

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Solution

The fourth proportional to 122.91, 169.61 and 93.42 is: 128.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.91 : 169.61 = 93.42 : x
  2. Step 2: Convert to fraction form
    122.91/169.61 = 93.42/x
  3. Step 3: Cross multiply
    122.91x = 169.61 × 93.42
  4. Step 4: Simplify right side
    122.91x = 15,845.65
  5. Step 5: Solve for x
    x = 15,845.65/122.91
  6. Step 6: Final answer
    x = 128.93

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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.