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Finding the Fourth Proportional to 141.11, 194.65 and 92.01

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Solution

The fourth proportional to 141.11, 194.65 and 92.01 is: 126.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.11 : 194.65 = 92.01 : x
  2. Step 2: Convert to fraction form
    141.11/194.65 = 92.01/x
  3. Step 3: Cross multiply
    141.11x = 194.65 × 92.01
  4. Step 4: Simplify right side
    141.11x = 17,909.75
  5. Step 5: Solve for x
    x = 17,909.75/141.11
  6. Step 6: Final answer
    x = 126.92

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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.