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Finding the Fourth Proportional to 100,767.78, 150,859.80 and 75,912.48

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Solution

The fourth proportional to 100,767.78, 150,859.80 and 75,912.48 is: 113,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,767.78 : 150,859.80 = 75,912.48 : x
  2. Step 2: Convert to fraction form
    100,767.78/150,859.80 = 75,912.48/x
  3. Step 3: Cross multiply
    100,767.78x = 150,859.80 × 75,912.48
  4. Step 4: Simplify right side
    100,767.78x = 11,452,141,550.30
  5. Step 5: Solve for x
    x = 11,452,141,550.30/100,767.78
  6. Step 6: Final answer
    x = 113,648.84

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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.