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Finding the Fourth Proportional to 81.91, 122.76 and 73.30

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Solution

The fourth proportional to 81.91, 122.76 and 73.30 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.91 : 122.76 = 73.30 : x
  2. Step 2: Convert to fraction form
    81.91/122.76 = 73.30/x
  3. Step 3: Cross multiply
    81.91x = 122.76 × 73.30
  4. Step 4: Simplify right side
    81.91x = 8,998.31
  5. Step 5: Solve for x
    x = 8,998.31/81.91
  6. Step 6: Final answer
    x = 109.86

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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.