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Finding the Fourth Proportional to 141.12, 194.52 and 106.56

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Solution

The fourth proportional to 141.12, 194.52 and 106.56 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.12 : 194.52 = 106.56 : x
  2. Step 2: Convert to fraction form
    141.12/194.52 = 106.56/x
  3. Step 3: Cross multiply
    141.12x = 194.52 × 106.56
  4. Step 4: Simplify right side
    141.12x = 20,728.05
  5. Step 5: Solve for x
    x = 20,728.05/141.12
  6. Step 6: Final answer
    x = 146.88

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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.