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Finding the Fourth Proportional to 207,399.73, 311,285.03 and 106,266.78

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Solution

The fourth proportional to 207,399.73, 311,285.03 and 106,266.78 is: 159,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,399.73 : 311,285.03 = 106,266.78 : x
  2. Step 2: Convert to fraction form
    207,399.73/311,285.03 = 106,266.78/x
  3. Step 3: Cross multiply
    207,399.73x = 311,285.03 × 106,266.78
  4. Step 4: Simplify right side
    207,399.73x = 33,079,257,800.30
  5. Step 5: Solve for x
    x = 33,079,257,800.30/207,399.73
  6. Step 6: Final answer
    x = 159,495.18

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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.