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Finding the Fourth Proportional to 82.56, 124.08 and 77.28

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Solution

The fourth proportional to 82.56, 124.08 and 77.28 is: 116.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.56 : 124.08 = 77.28 : x
  2. Step 2: Convert to fraction form
    82.56/124.08 = 77.28/x
  3. Step 3: Cross multiply
    82.56x = 124.08 × 77.28
  4. Step 4: Simplify right side
    82.56x = 9,588.90
  5. Step 5: Solve for x
    x = 9,588.90/82.56
  6. Step 6: Final answer
    x = 116.14

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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.