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Finding the Fourth Proportional to 82.56, 123.72 and 48.27

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Solution

The fourth proportional to 82.56, 123.72 and 48.27 is: 72.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 123.72 = 48.27 : x
  2. Step 2: Convert to fraction form
    82.56/123.72 = 48.27/x
  3. Step 3: Cross multiply
    82.56x = 123.72 × 48.27
  4. Step 4: Simplify right side
    82.56x = 5,971.96
  5. Step 5: Solve for x
    x = 5,971.96/82.56
  6. Step 6: Final answer
    x = 72.33

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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.