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Finding the Fourth Proportional to 141.71, 195.14 and 138.68

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Solution

The fourth proportional to 141.71, 195.14 and 138.68 is: 190.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.71 : 195.14 = 138.68 : x
  2. Step 2: Convert to fraction form
    141.71/195.14 = 138.68/x
  3. Step 3: Cross multiply
    141.71x = 195.14 × 138.68
  4. Step 4: Simplify right side
    141.71x = 27,060.35
  5. Step 5: Solve for x
    x = 27,060.35/141.71
  6. Step 6: Final answer
    x = 190.96

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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.