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Finding the Fourth Proportional to 82.50, 113.14 and 72.78

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Solution

The fourth proportional to 82.50, 113.14 and 72.78 is: 99.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.50 : 113.14 = 72.78 : x
  2. Step 2: Convert to fraction form
    82.50/113.14 = 72.78/x
  3. Step 3: Cross multiply
    82.50x = 113.14 × 72.78
  4. Step 4: Simplify right side
    82.50x = 8,234.33
  5. Step 5: Solve for x
    x = 8,234.33/82.50
  6. Step 6: Final answer
    x = 99.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.