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Finding the Fourth Proportional to 83.84, 124.90 and 80.94

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Solution

The fourth proportional to 83.84, 124.90 and 80.94 is: 120.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 124.90 = 80.94 : x
  2. Step 2: Convert to fraction form
    83.84/124.90 = 80.94/x
  3. Step 3: Cross multiply
    83.84x = 124.90 × 80.94
  4. Step 4: Simplify right side
    83.84x = 10,108.78
  5. Step 5: Solve for x
    x = 10,108.78/83.84
  6. Step 6: Final answer
    x = 120.57

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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.