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Finding the Fourth Proportional to 206,736.17, 309,907.38 and 66,396.38

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Solution

The fourth proportional to 206,736.17, 309,907.38 and 66,396.38 is: 99,531.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.17 : 309,907.38 = 66,396.38 : x
  2. Step 2: Convert to fraction form
    206,736.17/309,907.38 = 66,396.38/x
  3. Step 3: Cross multiply
    206,736.17x = 309,907.38 × 66,396.38
  4. Step 4: Simplify right side
    206,736.17x = 20,576,726,866.73
  5. Step 5: Solve for x
    x = 20,576,726,866.73/206,736.17
  6. Step 6: Final answer
    x = 99,531.34

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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.