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Finding the Fourth Proportional to 206,099.69, 309,147.08 and 116,149.19

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Solution

The fourth proportional to 206,099.69, 309,147.08 and 116,149.19 is: 174,222.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.69 : 309,147.08 = 116,149.19 : x
  2. Step 2: Convert to fraction form
    206,099.69/309,147.08 = 116,149.19/x
  3. Step 3: Cross multiply
    206,099.69x = 309,147.08 × 116,149.19
  4. Step 4: Simplify right side
    206,099.69x = 35,907,180,806.38
  5. Step 5: Solve for x
    x = 35,907,180,806.38/206,099.69
  6. Step 6: Final answer
    x = 174,222.40

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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.