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Finding the Fourth Proportional to 200,490.32, 300,763.12 and 67,380.89

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Solution

The fourth proportional to 200,490.32, 300,763.12 and 67,380.89 is: 101,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,490.32 : 300,763.12 = 67,380.89 : x
  2. Step 2: Convert to fraction form
    200,490.32/300,763.12 = 67,380.89/x
  3. Step 3: Cross multiply
    200,490.32x = 300,763.12 × 67,380.89
  4. Step 4: Simplify right side
    200,490.32x = 20,265,686,367.87
  5. Step 5: Solve for x
    x = 20,265,686,367.87/200,490.32
  6. Step 6: Final answer
    x = 101,080.63

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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.