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Finding the Fourth Proportional to 226,478.60, 339,749.94 and 76,761.56

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Solution

The fourth proportional to 226,478.60, 339,749.94 and 76,761.56 is: 115,153.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,478.60 : 339,749.94 = 76,761.56 : x
  2. Step 2: Convert to fraction form
    226,478.60/339,749.94 = 76,761.56/x
  3. Step 3: Cross multiply
    226,478.60x = 339,749.94 × 76,761.56
  4. Step 4: Simplify right side
    226,478.60x = 26,079,735,404.31
  5. Step 5: Solve for x
    x = 26,079,735,404.31/226,478.60
  6. Step 6: Final answer
    x = 115,153.20

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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.