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Finding the Fourth Proportional to 140.72, 194.10 and 82.46

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Solution

The fourth proportional to 140.72, 194.10 and 82.46 is: 113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.72 : 194.10 = 82.46 : x
  2. Step 2: Convert to fraction form
    140.72/194.10 = 82.46/x
  3. Step 3: Cross multiply
    140.72x = 194.10 × 82.46
  4. Step 4: Simplify right side
    140.72x = 16,004.52
  5. Step 5: Solve for x
    x = 16,004.52/140.72
  6. Step 6: Final answer
    x = 113.74

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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.