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Finding the Fourth Proportional to 82.53, 113.78 and 61.80

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Solution

The fourth proportional to 82.53, 113.78 and 61.80 is: 85.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 113.78 = 61.80 : x
  2. Step 2: Convert to fraction form
    82.53/113.78 = 61.80/x
  3. Step 3: Cross multiply
    82.53x = 113.78 × 61.80
  4. Step 4: Simplify right side
    82.53x = 7,031.30
  5. Step 5: Solve for x
    x = 7,031.30/82.53
  6. Step 6: Final answer
    x = 85.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.