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Finding the Fourth Proportional to 206,736.36, 309,907.67 and 66,396.57

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Solution

The fourth proportional to 206,736.36, 309,907.67 and 66,396.57 is: 99,531.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,736.36 : 309,907.67 = 66,396.57 : x
  2. Step 2: Convert to fraction form
    206,736.36/309,907.67 = 66,396.57/x
  3. Step 3: Cross multiply
    206,736.36x = 309,907.67 × 66,396.57
  4. Step 4: Simplify right side
    206,736.36x = 20,576,805,972.71
  5. Step 5: Solve for x
    x = 20,576,805,972.71/206,736.36
  6. Step 6: Final answer
    x = 99,531.63

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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.