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Finding the Fourth Proportional to 140.61, 194.04 and 82.38

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Solution

The fourth proportional to 140.61, 194.04 and 82.38 is: 113.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.61 : 194.04 = 82.38 : x
  2. Step 2: Convert to fraction form
    140.61/194.04 = 82.38/x
  3. Step 3: Cross multiply
    140.61x = 194.04 × 82.38
  4. Step 4: Simplify right side
    140.61x = 15,984.05
  5. Step 5: Solve for x
    x = 15,984.05/140.61
  6. Step 6: Final answer
    x = 113.68

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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.