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Finding the Fourth Proportional to 273,251.06, 409,893.87 and 86,269.94

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Solution

The fourth proportional to 273,251.06, 409,893.87 and 86,269.94 is: 129,410.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,251.06 : 409,893.87 = 86,269.94 : x
  2. Step 2: Convert to fraction form
    273,251.06/409,893.87 = 86,269.94/x
  3. Step 3: Cross multiply
    273,251.06x = 409,893.87 × 86,269.94
  4. Step 4: Simplify right side
    273,251.06x = 35,361,519,571.27
  5. Step 5: Solve for x
    x = 35,361,519,571.27/273,251.06
  6. Step 6: Final answer
    x = 129,410.37

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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.