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Finding the Fourth Proportional to 206,377.20, 284,780.64 and 115,736.88

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Solution

The fourth proportional to 206,377.20, 284,780.64 and 115,736.88 is: 159,705.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.20 : 284,780.64 = 115,736.88 : x
  2. Step 2: Convert to fraction form
    206,377.20/284,780.64 = 115,736.88/x
  3. Step 3: Cross multiply
    206,377.20x = 284,780.64 × 115,736.88
  4. Step 4: Simplify right side
    206,377.20x = 32,959,622,758.00
  5. Step 5: Solve for x
    x = 32,959,622,758.00/206,377.20
  6. Step 6: Final answer
    x = 159,705.74

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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.