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Finding the Fourth Proportional to 83.80, 125.38 and 73.09

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Solution

The fourth proportional to 83.80, 125.38 and 73.09 is: 109.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.80 : 125.38 = 73.09 : x
  2. Step 2: Convert to fraction form
    83.80/125.38 = 73.09/x
  3. Step 3: Cross multiply
    83.80x = 125.38 × 73.09
  4. Step 4: Simplify right side
    83.80x = 9,164.02
  5. Step 5: Solve for x
    x = 9,164.02/83.80
  6. Step 6: Final answer
    x = 109.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.