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Finding the Fourth Proportional to 83.50, 114.52 and 73.78

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Solution

The fourth proportional to 83.50, 114.52 and 73.78 is: 101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.50 : 114.52 = 73.78 : x
  2. Step 2: Convert to fraction form
    83.50/114.52 = 73.78/x
  3. Step 3: Cross multiply
    83.50x = 114.52 × 73.78
  4. Step 4: Simplify right side
    83.50x = 8,449.29
  5. Step 5: Solve for x
    x = 8,449.29/83.50
  6. Step 6: Final answer
    x = 101.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.