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Finding the Fourth Proportional to 98.17, 134.90 and 78.73

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Solution

The fourth proportional to 98.17, 134.90 and 78.73 is: 108.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.17 : 134.90 = 78.73 : x
  2. Step 2: Convert to fraction form
    98.17/134.90 = 78.73/x
  3. Step 3: Cross multiply
    98.17x = 134.90 × 78.73
  4. Step 4: Simplify right side
    98.17x = 10,620.68
  5. Step 5: Solve for x
    x = 10,620.68/98.17
  6. Step 6: Final answer
    x = 108.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.