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Finding the Fourth Proportional to 206,212.60, 308,930.10 and 106,031.80

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Solution

The fourth proportional to 206,212.60, 308,930.10 and 106,031.80 is: 158,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,212.60 : 308,930.10 = 106,031.80 : x
  2. Step 2: Convert to fraction form
    206,212.60/308,930.10 = 106,031.80/x
  3. Step 3: Cross multiply
    206,212.60x = 308,930.10 × 106,031.80
  4. Step 4: Simplify right side
    206,212.60x = 32,756,414,577.18
  5. Step 5: Solve for x
    x = 32,756,414,577.18/206,212.60
  6. Step 6: Final answer
    x = 158,847.78

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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.