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Finding the Fourth Proportional to 98.97, 136.82 and 78.39

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Solution

The fourth proportional to 98.97, 136.82 and 78.39 is: 108.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.97 : 136.82 = 78.39 : x
  2. Step 2: Convert to fraction form
    98.97/136.82 = 78.39/x
  3. Step 3: Cross multiply
    98.97x = 136.82 × 78.39
  4. Step 4: Simplify right side
    98.97x = 10,724.93
  5. Step 5: Solve for x
    x = 10,724.93/98.97
  6. Step 6: Final answer
    x = 108.37

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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.