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Finding the Fourth Proportional to 200,489.82, 300,762.37 and 67,380.39

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Solution

The fourth proportional to 200,489.82, 300,762.37 and 67,380.39 is: 101,079.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,489.82 : 300,762.37 = 67,380.39 : x
  2. Step 2: Convert to fraction form
    200,489.82/300,762.37 = 67,380.39/x
  3. Step 3: Cross multiply
    200,489.82x = 300,762.37 × 67,380.39
  4. Step 4: Simplify right side
    200,489.82x = 20,265,485,451.02
  5. Step 5: Solve for x
    x = 20,265,485,451.02/200,489.82
  6. Step 6: Final answer
    x = 101,079.88

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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.