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Finding the Fourth Proportional to 83.67, 124.84 and 73.41

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Solution

The fourth proportional to 83.67, 124.84 and 73.41 is: 109.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.67 : 124.84 = 73.41 : x
  2. Step 2: Convert to fraction form
    83.67/124.84 = 73.41/x
  3. Step 3: Cross multiply
    83.67x = 124.84 × 73.41
  4. Step 4: Simplify right side
    83.67x = 9,164.50
  5. Step 5: Solve for x
    x = 9,164.50/83.67
  6. Step 6: Final answer
    x = 109.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.