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Finding the Fourth Proportional to 82.23, 122.68 and 73.55

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Solution

The fourth proportional to 82.23, 122.68 and 73.55 is: 109.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 122.68 = 73.55 : x
  2. Step 2: Convert to fraction form
    82.23/122.68 = 73.55/x
  3. Step 3: Cross multiply
    82.23x = 122.68 × 73.55
  4. Step 4: Simplify right side
    82.23x = 9,023.50
  5. Step 5: Solve for x
    x = 9,023.50/82.23
  6. Step 6: Final answer
    x = 109.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.