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Finding the Fourth Proportional to 206,891.85, 309,907.22 and 199,754.13

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Solution

The fourth proportional to 206,891.85, 309,907.22 and 199,754.13 is: 299,215.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,891.85 : 309,907.22 = 199,754.13 : x
  2. Step 2: Convert to fraction form
    206,891.85/309,907.22 = 199,754.13/x
  3. Step 3: Cross multiply
    206,891.85x = 309,907.22 × 199,754.13
  4. Step 4: Simplify right side
    206,891.85x = 61,905,246,113.05
  5. Step 5: Solve for x
    x = 61,905,246,113.05/206,891.85
  6. Step 6: Final answer
    x = 299,215.49

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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.