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Finding the Fourth Proportional to 98.73, 136.25 and 83.14

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Solution

The fourth proportional to 98.73, 136.25 and 83.14 is: 114.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.73 : 136.25 = 83.14 : x
  2. Step 2: Convert to fraction form
    98.73/136.25 = 83.14/x
  3. Step 3: Cross multiply
    98.73x = 136.25 × 83.14
  4. Step 4: Simplify right side
    98.73x = 11,327.38
  5. Step 5: Solve for x
    x = 11,327.38/98.73
  6. Step 6: Final answer
    x = 114.73

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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.