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Finding the Fourth Proportional to 140.73, 194.23 and 88.29

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Solution

The fourth proportional to 140.73, 194.23 and 88.29 is: 121.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.73 : 194.23 = 88.29 : x
  2. Step 2: Convert to fraction form
    140.73/194.23 = 88.29/x
  3. Step 3: Cross multiply
    140.73x = 194.23 × 88.29
  4. Step 4: Simplify right side
    140.73x = 17,148.57
  5. Step 5: Solve for x
    x = 17,148.57/140.73
  6. Step 6: Final answer
    x = 121.85

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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.