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Finding the Fourth Proportional to 275,367.15, 412,971.30 and 75,694.05

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Solution

The fourth proportional to 275,367.15, 412,971.30 and 75,694.05 is: 113,519.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,367.15 : 412,971.30 = 75,694.05 : x
  2. Step 2: Convert to fraction form
    275,367.15/412,971.30 = 75,694.05/x
  3. Step 3: Cross multiply
    275,367.15x = 412,971.30 × 75,694.05
  4. Step 4: Simplify right side
    275,367.15x = 31,259,470,230.77
  5. Step 5: Solve for x
    x = 31,259,470,230.77/275,367.15
  6. Step 6: Final answer
    x = 113,519.24

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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.