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Finding the Fourth Proportional to 206,396.16, 309,491.64 and 66,136.56

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Solution

The fourth proportional to 206,396.16, 309,491.64 and 66,136.56 is: 99,171.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,396.16 : 309,491.64 = 66,136.56 : x
  2. Step 2: Convert to fraction form
    206,396.16/309,491.64 = 66,136.56/x
  3. Step 3: Cross multiply
    206,396.16x = 309,491.64 × 66,136.56
  4. Step 4: Simplify right side
    206,396.16x = 20,468,712,418.36
  5. Step 5: Solve for x
    x = 20,468,712,418.36/206,396.16
  6. Step 6: Final answer
    x = 99,171.96

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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.