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Finding the Fourth Proportional to 273,106.14, 409,659.21 and 86,132.22

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Solution

The fourth proportional to 273,106.14, 409,659.21 and 86,132.22 is: 129,198.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,106.14 : 409,659.21 = 86,132.22 : x
  2. Step 2: Convert to fraction form
    273,106.14/409,659.21 = 86,132.22/x
  3. Step 3: Cross multiply
    273,106.14x = 409,659.21 × 86,132.22
  4. Step 4: Simplify right side
    273,106.14x = 35,284,857,200.75
  5. Step 5: Solve for x
    x = 35,284,857,200.75/273,106.14
  6. Step 6: Final answer
    x = 129,198.33

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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.