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Finding the Fourth Proportional to 142.08, 212.92 and 98.61

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Solution

The fourth proportional to 142.08, 212.92 and 98.61 is: 147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.08 : 212.92 = 98.61 : x
  2. Step 2: Convert to fraction form
    142.08/212.92 = 98.61/x
  3. Step 3: Cross multiply
    142.08x = 212.92 × 98.61
  4. Step 4: Simplify right side
    142.08x = 20,996.04
  5. Step 5: Solve for x
    x = 20,996.04/142.08
  6. Step 6: Final answer
    x = 147.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.