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Finding the Fourth Proportional to 204,489.80, 306,734.70 and 115,916.30

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Solution

The fourth proportional to 204,489.80, 306,734.70 and 115,916.30 is: 173,874.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489.80 : 306,734.70 = 115,916.30 : x
  2. Step 2: Convert to fraction form
    204,489.80/306,734.70 = 115,916.30/x
  3. Step 3: Cross multiply
    204,489.80x = 306,734.70 × 115,916.30
  4. Step 4: Simplify right side
    204,489.80x = 35,555,551,505.61
  5. Step 5: Solve for x
    x = 35,555,551,505.61/204,489.80
  6. Step 6: Final answer
    x = 173,874.45

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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.