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Finding the Fourth Proportional to 98.42, 146.82 and 87.14

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Solution

The fourth proportional to 98.42, 146.82 and 87.14 is: 129.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 146.82 = 87.14 : x
  2. Step 2: Convert to fraction form
    98.42/146.82 = 87.14/x
  3. Step 3: Cross multiply
    98.42x = 146.82 × 87.14
  4. Step 4: Simplify right side
    98.42x = 12,793.89
  5. Step 5: Solve for x
    x = 12,793.89/98.42
  6. Step 6: Final answer
    x = 129.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.