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Finding the Fourth Proportional to 141.75, 212.28 and 83.85

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Solution

The fourth proportional to 141.75, 212.28 and 83.85 is: 125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 212.28 = 83.85 : x
  2. Step 2: Convert to fraction form
    141.75/212.28 = 83.85/x
  3. Step 3: Cross multiply
    141.75x = 212.28 × 83.85
  4. Step 4: Simplify right side
    141.75x = 17,799.68
  5. Step 5: Solve for x
    x = 17,799.68/141.75
  6. Step 6: Final answer
    x = 125.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.