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Finding the Fourth Proportional to 275,811.58, 413,709.13 and 76,144.15

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Solution

The fourth proportional to 275,811.58, 413,709.13 and 76,144.15 is: 114,213.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,811.58 : 413,709.13 = 76,144.15 : x
  2. Step 2: Convert to fraction form
    275,811.58/413,709.13 = 76,144.15/x
  3. Step 3: Cross multiply
    275,811.58x = 413,709.13 × 76,144.15
  4. Step 4: Simplify right side
    275,811.58x = 31,501,527,601.82
  5. Step 5: Solve for x
    x = 31,501,527,601.82/275,811.58
  6. Step 6: Final answer
    x = 114,213.94

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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.