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Finding the Fourth Proportional to 275,906.90, 413,856.24 and 76,222.86

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Solution

The fourth proportional to 275,906.90, 413,856.24 and 76,222.86 is: 114,333.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,906.90 : 413,856.24 = 76,222.86 : x
  2. Step 2: Convert to fraction form
    275,906.90/413,856.24 = 76,222.86/x
  3. Step 3: Cross multiply
    275,906.90x = 413,856.24 × 76,222.86
  4. Step 4: Simplify right side
    275,906.90x = 31,545,306,241.65
  5. Step 5: Solve for x
    x = 31,545,306,241.65/275,906.90
  6. Step 6: Final answer
    x = 114,333.15

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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.