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Finding the Fourth Proportional to 206,965.80, 310,189.08 and 88,498.08

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Solution

The fourth proportional to 206,965.80, 310,189.08 and 88,498.08 is: 132,636.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,965.80 : 310,189.08 = 88,498.08 : x
  2. Step 2: Convert to fraction form
    206,965.80/310,189.08 = 88,498.08/x
  3. Step 3: Cross multiply
    206,965.80x = 310,189.08 × 88,498.08
  4. Step 4: Simplify right side
    206,965.80x = 27,451,138,016.97
  5. Step 5: Solve for x
    x = 27,451,138,016.97/206,965.80
  6. Step 6: Final answer
    x = 132,636.11

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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.