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Finding the Fourth Proportional to 83.79, 125.43 and 73.77

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Solution

The fourth proportional to 83.79, 125.43 and 73.77 is: 110.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.79 : 125.43 = 73.77 : x
  2. Step 2: Convert to fraction form
    83.79/125.43 = 73.77/x
  3. Step 3: Cross multiply
    83.79x = 125.43 × 73.77
  4. Step 4: Simplify right side
    83.79x = 9,252.97
  5. Step 5: Solve for x
    x = 9,252.97/83.79
  6. Step 6: Final answer
    x = 110.43

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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.