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Finding the Fourth Proportional to 275,661.25, 413,520.46 and 75,981.67

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Solution

The fourth proportional to 275,661.25, 413,520.46 and 75,981.67 is: 113,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,661.25 : 413,520.46 = 75,981.67 : x
  2. Step 2: Convert to fraction form
    275,661.25/413,520.46 = 75,981.67/x
  3. Step 3: Cross multiply
    275,661.25x = 413,520.46 × 75,981.67
  4. Step 4: Simplify right side
    275,661.25x = 31,419,973,906.21
  5. Step 5: Solve for x
    x = 31,419,973,906.21/275,661.25
  6. Step 6: Final answer
    x = 113,980.38

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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.