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Finding the Fourth Proportional to 141.48, 195.25 and 82.45

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Solution

The fourth proportional to 141.48, 195.25 and 82.45 is: 113.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.48 : 195.25 = 82.45 : x
  2. Step 2: Convert to fraction form
    141.48/195.25 = 82.45/x
  3. Step 3: Cross multiply
    141.48x = 195.25 × 82.45
  4. Step 4: Simplify right side
    141.48x = 16,097.39
  5. Step 5: Solve for x
    x = 16,097.39/141.48
  6. Step 6: Final answer
    x = 113.78

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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.