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Finding the Fourth Proportional to 206,698.80, 309,789.38 and 88,231.44

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Solution

The fourth proportional to 206,698.80, 309,789.38 and 88,231.44 is: 132,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.80 : 309,789.38 = 88,231.44 : x
  2. Step 2: Convert to fraction form
    206,698.80/309,789.38 = 88,231.44/x
  3. Step 3: Cross multiply
    206,698.80x = 309,789.38 × 88,231.44
  4. Step 4: Simplify right side
    206,698.80x = 27,333,163,094.11
  5. Step 5: Solve for x
    x = 27,333,163,094.11/206,698.80
  6. Step 6: Final answer
    x = 132,236.68

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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.