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Finding the Fourth Proportional to 140.73, 194.22 and 122.37

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Solution

The fourth proportional to 140.73, 194.22 and 122.37 is: 168.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 194.22 = 122.37 : x
  2. Step 2: Convert to fraction form
    140.73/194.22 = 122.37/x
  3. Step 3: Cross multiply
    140.73x = 194.22 × 122.37
  4. Step 4: Simplify right side
    140.73x = 23,766.70
  5. Step 5: Solve for x
    x = 23,766.70/140.73
  6. Step 6: Final answer
    x = 168.88

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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.