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Finding the Fourth Proportional to 82.72, 124.69 and 74.35

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Solution

The fourth proportional to 82.72, 124.69 and 74.35 is: 112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.72 : 124.69 = 74.35 : x
  2. Step 2: Convert to fraction form
    82.72/124.69 = 74.35/x
  3. Step 3: Cross multiply
    82.72x = 124.69 × 74.35
  4. Step 4: Simplify right side
    82.72x = 9,270.70
  5. Step 5: Solve for x
    x = 9,270.70/82.72
  6. Step 6: Final answer
    x = 112.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.