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Finding the Fourth Proportional to 82.49, 124.50 and 79.30

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Solution

The fourth proportional to 82.49, 124.50 and 79.30 is: 119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.49 : 124.50 = 79.30 : x
  2. Step 2: Convert to fraction form
    82.49/124.50 = 79.30/x
  3. Step 3: Cross multiply
    82.49x = 124.50 × 79.30
  4. Step 4: Simplify right side
    82.49x = 9,872.60
  5. Step 5: Solve for x
    x = 9,872.60/82.49
  6. Step 6: Final answer
    x = 119.69

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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.