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Finding the Fourth Proportional to 98.36, 147.12 and 82.12

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Solution

The fourth proportional to 98.36, 147.12 and 82.12 is: 122.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.36 : 147.12 = 82.12 : x
  2. Step 2: Convert to fraction form
    98.36/147.12 = 82.12/x
  3. Step 3: Cross multiply
    98.36x = 147.12 × 82.12
  4. Step 4: Simplify right side
    98.36x = 12,081.49
  5. Step 5: Solve for x
    x = 12,081.49/98.36
  6. Step 6: Final answer
    x = 122.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.