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Finding the Fourth Proportional to 82.23, 112.78 and 78.92

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Solution

The fourth proportional to 82.23, 112.78 and 78.92 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 112.78 = 78.92 : x
  2. Step 2: Convert to fraction form
    82.23/112.78 = 78.92/x
  3. Step 3: Cross multiply
    82.23x = 112.78 × 78.92
  4. Step 4: Simplify right side
    82.23x = 8,900.20
  5. Step 5: Solve for x
    x = 8,900.20/82.23
  6. Step 6: Final answer
    x = 108.24

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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.