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Finding the Fourth Proportional to 82.53, 123.89 and 34.47

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Solution

The fourth proportional to 82.53, 123.89 and 34.47 is: 51.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.53 : 123.89 = 34.47 : x
  2. Step 2: Convert to fraction form
    82.53/123.89 = 34.47/x
  3. Step 3: Cross multiply
    82.53x = 123.89 × 34.47
  4. Step 4: Simplify right side
    82.53x = 4,270.32
  5. Step 5: Solve for x
    x = 4,270.32/82.53
  6. Step 6: Final answer
    x = 51.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.