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Finding the Fourth Proportional to 142.20, 195.44 and 125.73

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Solution

The fourth proportional to 142.20, 195.44 and 125.73 is: 172.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.20 : 195.44 = 125.73 : x
  2. Step 2: Convert to fraction form
    142.20/195.44 = 125.73/x
  3. Step 3: Cross multiply
    142.20x = 195.44 × 125.73
  4. Step 4: Simplify right side
    142.20x = 24,572.04
  5. Step 5: Solve for x
    x = 24,572.04/142.20
  6. Step 6: Final answer
    x = 172.80

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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.