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Finding the Fourth Proportional to 125.89, 173.80 and 84.43

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Solution

The fourth proportional to 125.89, 173.80 and 84.43 is: 116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.89 : 173.80 = 84.43 : x
  2. Step 2: Convert to fraction form
    125.89/173.80 = 84.43/x
  3. Step 3: Cross multiply
    125.89x = 173.80 × 84.43
  4. Step 4: Simplify right side
    125.89x = 14,673.93
  5. Step 5: Solve for x
    x = 14,673.93/125.89
  6. Step 6: Final answer
    x = 116.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.