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Finding the Fourth Proportional to 141.59, 195.17 and 100.08

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Solution

The fourth proportional to 141.59, 195.17 and 100.08 is: 137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.59 : 195.17 = 100.08 : x
  2. Step 2: Convert to fraction form
    141.59/195.17 = 100.08/x
  3. Step 3: Cross multiply
    141.59x = 195.17 × 100.08
  4. Step 4: Simplify right side
    141.59x = 19,531.38
  5. Step 5: Solve for x
    x = 19,531.38/141.59
  6. Step 6: Final answer
    x = 137.94

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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.