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Finding the Fourth Proportional to 143,351.82, 214,757.99 and 84,011.22

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Solution

The fourth proportional to 143,351.82, 214,757.99 and 84,011.22 is: 125,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,351.82 : 214,757.99 = 84,011.22 : x
  2. Step 2: Convert to fraction form
    143,351.82/214,757.99 = 84,011.22/x
  3. Step 3: Cross multiply
    143,351.82x = 214,757.99 × 84,011.22
  4. Step 4: Simplify right side
    143,351.82x = 18,042,080,744.65
  5. Step 5: Solve for x
    x = 18,042,080,744.65/143,351.82
  6. Step 6: Final answer
    x = 125,858.75

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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.