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Finding the Fourth Proportional to 200,487.64, 300,766.20 and 67,380.88

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Solution

The fourth proportional to 200,487.64, 300,766.20 and 67,380.88 is: 101,083.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,487.64 : 300,766.20 = 67,380.88 : x
  2. Step 2: Convert to fraction form
    200,487.64/300,766.20 = 67,380.88/x
  3. Step 3: Cross multiply
    200,487.64x = 300,766.20 × 67,380.88
  4. Step 4: Simplify right side
    200,487.64x = 20,265,891,230.26
  5. Step 5: Solve for x
    x = 20,265,891,230.26/200,487.64
  6. Step 6: Final answer
    x = 101,083.00

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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.