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Finding the Fourth Proportional to 206,976,023.20, 310,420,489.20 and 104,643,863.20

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Solution

The fourth proportional to 206,976,023.20, 310,420,489.20 and 104,643,863.20 is: 156,943,778.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976,023.20 : 310,420,489.20 = 104,643,863.20 : x
  2. Step 2: Convert to fraction form
    206,976,023.20/310,420,489.20 = 104,643,863.20/x
  3. Step 3: Cross multiply
    206,976,023.20x = 310,420,489.20 × 104,643,863.20
  4. Step 4: Simplify right side
    206,976,023.20x = 32,483,599,206,321,876
  5. Step 5: Solve for x
    x = 32,483,599,206,321,876/206,976,023.20
  6. Step 6: Final answer
    x = 156,943,778.82

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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.