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Finding the Fourth Proportional to 206,531.04, 309,828.99 and 88,203

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Solution

The fourth proportional to 206,531.04, 309,828.99 and 88,203 is: 132,318.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,531.04 : 309,828.99 = 88,203 : x
  2. Step 2: Convert to fraction form
    206,531.04/309,828.99 = 88,203/x
  3. Step 3: Cross multiply
    206,531.04x = 309,828.99 × 88,203
  4. Step 4: Simplify right side
    206,531.04x = 27,327,846,404.97
  5. Step 5: Solve for x
    x = 27,327,846,404.97/206,531.04
  6. Step 6: Final answer
    x = 132,318.35

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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.