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Finding the Fourth Proportional to 275,678.96, 413,575.81 and 86,131.67

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Solution

The fourth proportional to 275,678.96, 413,575.81 and 86,131.67 is: 129,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,678.96 : 413,575.81 = 86,131.67 : x
  2. Step 2: Convert to fraction form
    275,678.96/413,575.81 = 86,131.67/x
  3. Step 3: Cross multiply
    275,678.96x = 413,575.81 × 86,131.67
  4. Step 4: Simplify right side
    275,678.96x = 35,621,972,903.69
  5. Step 5: Solve for x
    x = 35,621,972,903.69/275,678.96
  6. Step 6: Final answer
    x = 129,215.42

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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.