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Finding the Fourth Proportional to 206,906.90, 310,331.55 and 66,679.70

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Solution

The fourth proportional to 206,906.90, 310,331.55 and 66,679.70 is: 100,010.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,906.90 : 310,331.55 = 66,679.70 : x
  2. Step 2: Convert to fraction form
    206,906.90/310,331.55 = 66,679.70/x
  3. Step 3: Cross multiply
    206,906.90x = 310,331.55 × 66,679.70
  4. Step 4: Simplify right side
    206,906.90x = 20,692,814,654.54
  5. Step 5: Solve for x
    x = 20,692,814,654.54/206,906.90
  6. Step 6: Final answer
    x = 100,010.27

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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.