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Finding the Fourth Proportional to 205,408.40, 283,311.96 and 129,884

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Solution

The fourth proportional to 205,408.40, 283,311.96 and 129,884 is: 179,144.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,408.40 : 283,311.96 = 129,884 : x
  2. Step 2: Convert to fraction form
    205,408.40/283,311.96 = 129,884/x
  3. Step 3: Cross multiply
    205,408.40x = 283,311.96 × 129,884
  4. Step 4: Simplify right side
    205,408.40x = 36,797,690,612.64
  5. Step 5: Solve for x
    x = 36,797,690,612.64/205,408.40
  6. Step 6: Final answer
    x = 179,144.04

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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.