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Finding the Fourth Proportional to 82.98, 123.78 and 81.15

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Solution

The fourth proportional to 82.98, 123.78 and 81.15 is: 121.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.98 : 123.78 = 81.15 : x
  2. Step 2: Convert to fraction form
    82.98/123.78 = 81.15/x
  3. Step 3: Cross multiply
    82.98x = 123.78 × 81.15
  4. Step 4: Simplify right side
    82.98x = 10,044.75
  5. Step 5: Solve for x
    x = 10,044.75/82.98
  6. Step 6: Final answer
    x = 121.05

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