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Finding the Fourth Proportional to 71,785.34, 107,669.80 and 19,198.94

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Solution

The fourth proportional to 71,785.34, 107,669.80 and 19,198.94 is: 28,796.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,785.34 : 107,669.80 = 19,198.94 : x
  2. Step 2: Convert to fraction form
    71,785.34/107,669.80 = 19,198.94/x
  3. Step 3: Cross multiply
    71,785.34x = 107,669.80 × 19,198.94
  4. Step 4: Simplify right side
    71,785.34x = 2,067,146,030.01
  5. Step 5: Solve for x
    x = 2,067,146,030.01/71,785.34
  6. Step 6: Final answer
    x = 28,796.21

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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.