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Finding the Fourth Proportional to 141.38, 212.09 and 50.09

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Solution

The fourth proportional to 141.38, 212.09 and 50.09 is: 75.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.38 : 212.09 = 50.09 : x
  2. Step 2: Convert to fraction form
    141.38/212.09 = 50.09/x
  3. Step 3: Cross multiply
    141.38x = 212.09 × 50.09
  4. Step 4: Simplify right side
    141.38x = 10,622.28
  5. Step 5: Solve for x
    x = 10,622.28/141.38
  6. Step 6: Final answer
    x = 75.13

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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.