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Finding the Fourth Proportional to 142.12, 195.90 and 98.38

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Solution

The fourth proportional to 142.12, 195.90 and 98.38 is: 135.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 195.90 = 98.38 : x
  2. Step 2: Convert to fraction form
    142.12/195.90 = 98.38/x
  3. Step 3: Cross multiply
    142.12x = 195.90 × 98.38
  4. Step 4: Simplify right side
    142.12x = 19,272.64
  5. Step 5: Solve for x
    x = 19,272.64/142.12
  6. Step 6: Final answer
    x = 135.61

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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.