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Finding the Fourth Proportional to 83.41, 124.49 and 78.05

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Solution

The fourth proportional to 83.41, 124.49 and 78.05 is: 116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.41 : 124.49 = 78.05 : x
  2. Step 2: Convert to fraction form
    83.41/124.49 = 78.05/x
  3. Step 3: Cross multiply
    83.41x = 124.49 × 78.05
  4. Step 4: Simplify right side
    83.41x = 9,716.37
  5. Step 5: Solve for x
    x = 9,716.37/83.41
  6. Step 6: Final answer
    x = 116.49

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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.