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Finding the Fourth Proportional to 207,145.20, 309,940.20 and 137,161.20

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Solution

The fourth proportional to 207,145.20, 309,940.20 and 137,161.20 is: 205,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,145.20 : 309,940.20 = 137,161.20 : x
  2. Step 2: Convert to fraction form
    207,145.20/309,940.20 = 137,161.20/x
  3. Step 3: Cross multiply
    207,145.20x = 309,940.20 × 137,161.20
  4. Step 4: Simplify right side
    207,145.20x = 42,511,769,760.24
  5. Step 5: Solve for x
    x = 42,511,769,760.24/207,145.20
  6. Step 6: Final answer
    x = 205,226.91

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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.