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Finding the Fourth Proportional to 200,206.22, 300,100.10 and 66,976.88

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Solution

The fourth proportional to 200,206.22, 300,100.10 and 66,976.88 is: 100,395.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,206.22 : 300,100.10 = 66,976.88 : x
  2. Step 2: Convert to fraction form
    200,206.22/300,100.10 = 66,976.88/x
  3. Step 3: Cross multiply
    200,206.22x = 300,100.10 × 66,976.88
  4. Step 4: Simplify right side
    200,206.22x = 20,099,766,550.30
  5. Step 5: Solve for x
    x = 20,099,766,550.30/200,206.22
  6. Step 6: Final answer
    x = 100,395.32

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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.