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Finding the Fourth Proportional to 122.14, 167.73 and 104.65

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Solution

The fourth proportional to 122.14, 167.73 and 104.65 is: 143.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.14 : 167.73 = 104.65 : x
  2. Step 2: Convert to fraction form
    122.14/167.73 = 104.65/x
  3. Step 3: Cross multiply
    122.14x = 167.73 × 104.65
  4. Step 4: Simplify right side
    122.14x = 17,552.94
  5. Step 5: Solve for x
    x = 17,552.94/122.14
  6. Step 6: Final answer
    x = 143.71

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.