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Finding the Fourth Proportional to 83.43, 124.49 and 78.26

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Solution

The fourth proportional to 83.43, 124.49 and 78.26 is: 116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.43 : 124.49 = 78.26 : x
  2. Step 2: Convert to fraction form
    83.43/124.49 = 78.26/x
  3. Step 3: Cross multiply
    83.43x = 124.49 × 78.26
  4. Step 4: Simplify right side
    83.43x = 9,742.16
  5. Step 5: Solve for x
    x = 9,742.16/83.43
  6. Step 6: Final answer
    x = 116.77

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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.