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Finding the Fourth Proportional to 275,819.20, 413,720.57 and 76,151.77

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Solution

The fourth proportional to 275,819.20, 413,720.57 and 76,151.77 is: 114,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,819.20 : 413,720.57 = 76,151.77 : x
  2. Step 2: Convert to fraction form
    275,819.20/413,720.57 = 76,151.77/x
  3. Step 3: Cross multiply
    275,819.20x = 413,720.57 × 76,151.77
  4. Step 4: Simplify right side
    275,819.20x = 31,505,553,310.15
  5. Step 5: Solve for x
    x = 31,505,553,310.15/275,819.20
  6. Step 6: Final answer
    x = 114,225.38

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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.