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Finding the Fourth Proportional to 206,892.35, 309,907.97 and 199,754.63

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Solution

The fourth proportional to 206,892.35, 309,907.97 and 199,754.63 is: 299,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,892.35 : 309,907.97 = 199,754.63 : x
  2. Step 2: Convert to fraction form
    206,892.35/309,907.97 = 199,754.63/x
  3. Step 3: Cross multiply
    206,892.35x = 309,907.97 × 199,754.63
  4. Step 4: Simplify right side
    206,892.35x = 61,905,550,882.63
  5. Step 5: Solve for x
    x = 61,905,550,882.63/206,892.35
  6. Step 6: Final answer
    x = 299,216.24

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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.