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Finding the Fourth Proportional to 206,205.60, 308,919.60 and 106,024.80

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Solution

The fourth proportional to 206,205.60, 308,919.60 and 106,024.80 is: 158,837.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,205.60 : 308,919.60 = 106,024.80 : x
  2. Step 2: Convert to fraction form
    206,205.60/308,919.60 = 106,024.80/x
  3. Step 3: Cross multiply
    206,205.60x = 308,919.60 × 106,024.80
  4. Step 4: Simplify right side
    206,205.60x = 32,753,138,806.08
  5. Step 5: Solve for x
    x = 32,753,138,806.08/206,205.60
  6. Step 6: Final answer
    x = 158,837.29

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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.