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Finding the Fourth Proportional to 142.92, 197.23 and 77.42

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Solution

The fourth proportional to 142.92, 197.23 and 77.42 is: 106.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.92 : 197.23 = 77.42 : x
  2. Step 2: Convert to fraction form
    142.92/197.23 = 77.42/x
  3. Step 3: Cross multiply
    142.92x = 197.23 × 77.42
  4. Step 4: Simplify right side
    142.92x = 15,269.75
  5. Step 5: Solve for x
    x = 15,269.75/142.92
  6. Step 6: Final answer
    x = 106.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.