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Finding the Fourth Proportional to 140.90, 194.49 and 82.73

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Solution

The fourth proportional to 140.90, 194.49 and 82.73 is: 114.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.90 : 194.49 = 82.73 : x
  2. Step 2: Convert to fraction form
    140.90/194.49 = 82.73/x
  3. Step 3: Cross multiply
    140.90x = 194.49 × 82.73
  4. Step 4: Simplify right side
    140.90x = 16,089.19
  5. Step 5: Solve for x
    x = 16,089.19/140.90
  6. Step 6: Final answer
    x = 114.19

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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.