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Finding the Fourth Proportional to 71.92, 98.84 and 67.12

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Solution

The fourth proportional to 71.92, 98.84 and 67.12 is: 92.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.92 : 98.84 = 67.12 : x
  2. Step 2: Convert to fraction form
    71.92/98.84 = 67.12/x
  3. Step 3: Cross multiply
    71.92x = 98.84 × 67.12
  4. Step 4: Simplify right side
    71.92x = 6,634.14
  5. Step 5: Solve for x
    x = 6,634.14/71.92
  6. Step 6: Final answer
    x = 92.24

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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.