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Finding the Fourth Proportional to 82.20, 123.12 and 61.92

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Solution

The fourth proportional to 82.20, 123.12 and 61.92 is: 92.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.20 : 123.12 = 61.92 : x
  2. Step 2: Convert to fraction form
    82.20/123.12 = 61.92/x
  3. Step 3: Cross multiply
    82.20x = 123.12 × 61.92
  4. Step 4: Simplify right side
    82.20x = 7,623.59
  5. Step 5: Solve for x
    x = 7,623.59/82.20
  6. Step 6: Final answer
    x = 92.74

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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.