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Finding the Fourth Proportional to 125.89, 173.64 and 82.21

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Solution

The fourth proportional to 125.89, 173.64 and 82.21 is: 113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.89 : 173.64 = 82.21 : x
  2. Step 2: Convert to fraction form
    125.89/173.64 = 82.21/x
  3. Step 3: Cross multiply
    125.89x = 173.64 × 82.21
  4. Step 4: Simplify right side
    125.89x = 14,274.08
  5. Step 5: Solve for x
    x = 14,274.08/125.89
  6. Step 6: Final answer
    x = 113.39

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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.