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Finding the Fourth Proportional to 141.38, 212.06 and 54.74

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Solution

The fourth proportional to 141.38, 212.06 and 54.74 is: 82.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 212.06 = 54.74 : x
  2. Step 2: Convert to fraction form
    141.38/212.06 = 54.74/x
  3. Step 3: Cross multiply
    141.38x = 212.06 × 54.74
  4. Step 4: Simplify right side
    141.38x = 11,608.16
  5. Step 5: Solve for x
    x = 11,608.16/141.38
  6. Step 6: Final answer
    x = 82.11

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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.