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Finding the Fourth Proportional to 209,099.28, 313,753.13 and 82,830.54

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Solution

The fourth proportional to 209,099.28, 313,753.13 and 82,830.54 is: 124,287.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,099.28 : 313,753.13 = 82,830.54 : x
  2. Step 2: Convert to fraction form
    209,099.28/313,753.13 = 82,830.54/x
  3. Step 3: Cross multiply
    209,099.28x = 313,753.13 × 82,830.54
  4. Step 4: Simplify right side
    209,099.28x = 25,988,341,081.05
  5. Step 5: Solve for x
    x = 25,988,341,081.05/209,099.28
  6. Step 6: Final answer
    x = 124,287.09

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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.