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Finding the Fourth Proportional to 82.88, 124 and 74.88

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Solution

The fourth proportional to 82.88, 124 and 74.88 is: 112.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.88 : 124 = 74.88 : x
  2. Step 2: Convert to fraction form
    82.88/124 = 74.88/x
  3. Step 3: Cross multiply
    82.88x = 124 × 74.88
  4. Step 4: Simplify right side
    82.88x = 9,285.12
  5. Step 5: Solve for x
    x = 9,285.12/82.88
  6. Step 6: Final answer
    x = 112.03

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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.