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Finding the Fourth Proportional to 206,099.56, 309,146.91 and 116,149.06

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Solution

The fourth proportional to 206,099.56, 309,146.91 and 116,149.06 is: 174,222.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,099.56 : 309,146.91 = 116,149.06 : x
  2. Step 2: Convert to fraction form
    206,099.56/309,146.91 = 116,149.06/x
  3. Step 3: Cross multiply
    206,099.56x = 309,146.91 × 116,149.06
  4. Step 4: Simplify right side
    206,099.56x = 35,907,122,998.40
  5. Step 5: Solve for x
    x = 35,907,122,998.40/206,099.56
  6. Step 6: Final answer
    x = 174,222.22

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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.