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Finding the Fourth Proportional to 141.80, 194.43 and 127.93

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Solution

The fourth proportional to 141.80, 194.43 and 127.93 is: 175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.80 : 194.43 = 127.93 : x
  2. Step 2: Convert to fraction form
    141.80/194.43 = 127.93/x
  3. Step 3: Cross multiply
    141.80x = 194.43 × 127.93
  4. Step 4: Simplify right side
    141.80x = 24,873.43
  5. Step 5: Solve for x
    x = 24,873.43/141.80
  6. Step 6: Final answer
    x = 175.41

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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.