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Finding the Fourth Proportional to 141.52, 194.26 and 125.63

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Solution

The fourth proportional to 141.52, 194.26 and 125.63 is: 172.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.52 : 194.26 = 125.63 : x
  2. Step 2: Convert to fraction form
    141.52/194.26 = 125.63/x
  3. Step 3: Cross multiply
    141.52x = 194.26 × 125.63
  4. Step 4: Simplify right side
    141.52x = 24,404.26
  5. Step 5: Solve for x
    x = 24,404.26/141.52
  6. Step 6: Final answer
    x = 172.44

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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.