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Finding the Fourth Proportional to 226,163.38, 339,400.59 and 78,419.38

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Solution

The fourth proportional to 226,163.38, 339,400.59 and 78,419.38 is: 117,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,163.38 : 339,400.59 = 78,419.38 : x
  2. Step 2: Convert to fraction form
    226,163.38/339,400.59 = 78,419.38/x
  3. Step 3: Cross multiply
    226,163.38x = 339,400.59 × 78,419.38
  4. Step 4: Simplify right side
    226,163.38x = 26,615,581,750.33
  5. Step 5: Solve for x
    x = 26,615,581,750.33/226,163.38
  6. Step 6: Final answer
    x = 117,682.99

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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.