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Finding the Fourth Proportional to 273,112.14, 409,668.21 and 86,138.22

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Solution

The fourth proportional to 273,112.14, 409,668.21 and 86,138.22 is: 129,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,112.14 : 409,668.21 = 86,138.22 : x
  2. Step 2: Convert to fraction form
    273,112.14/409,668.21 = 86,138.22/x
  3. Step 3: Cross multiply
    273,112.14x = 409,668.21 × 86,138.22
  4. Step 4: Simplify right side
    273,112.14x = 35,288,090,399.99
  5. Step 5: Solve for x
    x = 35,288,090,399.99/273,112.14
  6. Step 6: Final answer
    x = 129,207.33

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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.