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Finding the Fourth Proportional to 141.57, 195.38 and 82.58

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Solution

The fourth proportional to 141.57, 195.38 and 82.58 is: 113.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.57 : 195.38 = 82.58 : x
  2. Step 2: Convert to fraction form
    141.57/195.38 = 82.58/x
  3. Step 3: Cross multiply
    141.57x = 195.38 × 82.58
  4. Step 4: Simplify right side
    141.57x = 16,133.09
  5. Step 5: Solve for x
    x = 16,133.09/141.57
  6. Step 6: Final answer
    x = 113.96

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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.