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Finding the Fourth Proportional to 141.87, 194.73 and 127.92

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Solution

The fourth proportional to 141.87, 194.73 and 127.92 is: 175.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.87 : 194.73 = 127.92 : x
  2. Step 2: Convert to fraction form
    141.87/194.73 = 127.92/x
  3. Step 3: Cross multiply
    141.87x = 194.73 × 127.92
  4. Step 4: Simplify right side
    141.87x = 24,909.86
  5. Step 5: Solve for x
    x = 24,909.86/141.87
  6. Step 6: Final answer
    x = 175.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.