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Finding the Fourth Proportional to 252,571.32, 378,919.34 and 75,077.56

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Solution

The fourth proportional to 252,571.32, 378,919.34 and 75,077.56 is: 112,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,571.32 : 378,919.34 = 75,077.56 : x
  2. Step 2: Convert to fraction form
    252,571.32/378,919.34 = 75,077.56/x
  3. Step 3: Cross multiply
    252,571.32x = 378,919.34 × 75,077.56
  4. Step 4: Simplify right side
    252,571.32x = 28,448,339,484.01
  5. Step 5: Solve for x
    x = 28,448,339,484.01/252,571.32
  6. Step 6: Final answer
    x = 112,634.88

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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.