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Finding the Fourth Proportional to 71,786.94, 107,672.22 and 19,200.54

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Solution

The fourth proportional to 71,786.94, 107,672.22 and 19,200.54 is: 28,798.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.94 : 107,672.22 = 19,200.54 : x
  2. Step 2: Convert to fraction form
    71,786.94/107,672.22 = 19,200.54/x
  3. Step 3: Cross multiply
    71,786.94x = 107,672.22 × 19,200.54
  4. Step 4: Simplify right side
    71,786.94x = 2,067,364,767.00
  5. Step 5: Solve for x
    x = 2,067,364,767.00/71,786.94
  6. Step 6: Final answer
    x = 28,798.62

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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.