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Finding the Fourth Proportional to 273,775.91, 410,921.49 and 138,936.80

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Solution

The fourth proportional to 273,775.91, 410,921.49 and 138,936.80 is: 208,535.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,775.91 : 410,921.49 = 138,936.80 : x
  2. Step 2: Convert to fraction form
    273,775.91/410,921.49 = 138,936.80/x
  3. Step 3: Cross multiply
    273,775.91x = 410,921.49 × 138,936.80
  4. Step 4: Simplify right side
    273,775.91x = 57,092,114,122.54
  5. Step 5: Solve for x
    x = 57,092,114,122.54/273,775.91
  6. Step 6: Final answer
    x = 208,535.93

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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.