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Finding the Fourth Proportional to 142.46, 195.79 and 125.98

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Solution

The fourth proportional to 142.46, 195.79 and 125.98 is: 173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.46 : 195.79 = 125.98 : x
  2. Step 2: Convert to fraction form
    142.46/195.79 = 125.98/x
  3. Step 3: Cross multiply
    142.46x = 195.79 × 125.98
  4. Step 4: Simplify right side
    142.46x = 24,665.62
  5. Step 5: Solve for x
    x = 24,665.62/142.46
  6. Step 6: Final answer
    x = 173.14

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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.