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Finding the Fourth Proportional to 206,408.82, 284,723.20 and 129,806.41

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Solution

The fourth proportional to 206,408.82, 284,723.20 and 129,806.41 is: 179,056.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,408.82 : 284,723.20 = 129,806.41 : x
  2. Step 2: Convert to fraction form
    206,408.82/284,723.20 = 129,806.41/x
  3. Step 3: Cross multiply
    206,408.82x = 284,723.20 × 129,806.41
  4. Step 4: Simplify right side
    206,408.82x = 36,958,897,472.04
  5. Step 5: Solve for x
    x = 36,958,897,472.04/206,408.82
  6. Step 6: Final answer
    x = 179,056.77

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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.