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Finding the Fourth Proportional to 209,912.92, 314,644.88 and 119,761.38

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Solution

The fourth proportional to 209,912.92, 314,644.88 and 119,761.38 is: 179,513.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,912.92 : 314,644.88 = 119,761.38 : x
  2. Step 2: Convert to fraction form
    209,912.92/314,644.88 = 119,761.38/x
  3. Step 3: Cross multiply
    209,912.92x = 314,644.88 × 119,761.38
  4. Step 4: Simplify right side
    209,912.92x = 37,682,305,038.73
  5. Step 5: Solve for x
    x = 37,682,305,038.73/209,912.92
  6. Step 6: Final answer
    x = 179,513.99

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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.