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Finding the Fourth Proportional to 82.26, 122.57 and 78.39

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Solution

The fourth proportional to 82.26, 122.57 and 78.39 is: 116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.26 : 122.57 = 78.39 : x
  2. Step 2: Convert to fraction form
    82.26/122.57 = 78.39/x
  3. Step 3: Cross multiply
    82.26x = 122.57 × 78.39
  4. Step 4: Simplify right side
    82.26x = 9,607.87
  5. Step 5: Solve for x
    x = 9,607.87/82.26
  6. Step 6: Final answer
    x = 116.80

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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.