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Finding the Fourth Proportional to 206,362.80, 309,252.24 and 87,914.88

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Solution

The fourth proportional to 206,362.80, 309,252.24 and 87,914.88 is: 131,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,362.80 : 309,252.24 = 87,914.88 : x
  2. Step 2: Convert to fraction form
    206,362.80/309,252.24 = 87,914.88/x
  3. Step 3: Cross multiply
    206,362.80x = 309,252.24 × 87,914.88
  4. Step 4: Simplify right side
    206,362.80x = 27,187,873,569.33
  5. Step 5: Solve for x
    x = 27,187,873,569.33/206,362.80
  6. Step 6: Final answer
    x = 131,747.94

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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.