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Finding the Fourth Proportional to 273,039.12, 409,555.44 and 86,049

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Solution

The fourth proportional to 273,039.12, 409,555.44 and 86,049 is: 129,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,039.12 : 409,555.44 = 86,049 : x
  2. Step 2: Convert to fraction form
    273,039.12/409,555.44 = 86,049/x
  3. Step 3: Cross multiply
    273,039.12x = 409,555.44 × 86,049
  4. Step 4: Simplify right side
    273,039.12x = 35,241,836,056.56
  5. Step 5: Solve for x
    x = 35,241,836,056.56/273,039.12
  6. Step 6: Final answer
    x = 129,072.48

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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.