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Finding the Fourth Proportional to 71,786.34, 107,671.14 and 19,199.97

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Solution

The fourth proportional to 71,786.34, 107,671.14 and 19,199.97 is: 28,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,786.34 : 107,671.14 = 19,199.97 : x
  2. Step 2: Convert to fraction form
    71,786.34/107,671.14 = 19,199.97/x
  3. Step 3: Cross multiply
    71,786.34x = 107,671.14 × 19,199.97
  4. Step 4: Simplify right side
    71,786.34x = 2,067,282,657.87
  5. Step 5: Solve for x
    x = 2,067,282,657.87/71,786.34
  6. Step 6: Final answer
    x = 28,797.72

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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.