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Finding the Fourth Proportional to 82.29, 122.78 and 73.83

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Solution

The fourth proportional to 82.29, 122.78 and 73.83 is: 110.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.29 : 122.78 = 73.83 : x
  2. Step 2: Convert to fraction form
    82.29/122.78 = 73.83/x
  3. Step 3: Cross multiply
    82.29x = 122.78 × 73.83
  4. Step 4: Simplify right side
    82.29x = 9,065.49
  5. Step 5: Solve for x
    x = 9,065.49/82.29
  6. Step 6: Final answer
    x = 110.16

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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.