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Finding the Fourth Proportional to 141.53, 195.25 and 82.51

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Solution

The fourth proportional to 141.53, 195.25 and 82.51 is: 113.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.53 : 195.25 = 82.51 : x
  2. Step 2: Convert to fraction form
    141.53/195.25 = 82.51/x
  3. Step 3: Cross multiply
    141.53x = 195.25 × 82.51
  4. Step 4: Simplify right side
    141.53x = 16,110.57
  5. Step 5: Solve for x
    x = 16,110.57/141.53
  6. Step 6: Final answer
    x = 113.83

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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.