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Finding the Fourth Proportional to 20,801,340.20, 31,146,023.10 and 20,801,340.20

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Solution

The fourth proportional to 20,801,340.20, 31,146,023.10 and 20,801,340.20 is: 31,146,023.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,801,340.20 : 31,146,023.10 = 20,801,340.20 : x
  2. Step 2: Convert to fraction form
    20,801,340.20/31,146,023.10 = 20,801,340.20/x
  3. Step 3: Cross multiply
    20,801,340.20x = 31,146,023.10 × 20,801,340.20
  4. Step 4: Simplify right side
    20,801,340.20x = 647,879,022,380,158.62
  5. Step 5: Solve for x
    x = 647,879,022,380,158.62/20,801,340.20
  6. Step 6: Final answer
    x = 31,146,023.10

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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.