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Finding the Fourth Proportional to 80,067.71, 120,138.93 and 35,689.84

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Solution

The fourth proportional to 80,067.71, 120,138.93 and 35,689.84 is: 53,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,067.71 : 120,138.93 = 35,689.84 : x
  2. Step 2: Convert to fraction form
    80,067.71/120,138.93 = 35,689.84/x
  3. Step 3: Cross multiply
    80,067.71x = 120,138.93 × 35,689.84
  4. Step 4: Simplify right side
    80,067.71x = 4,287,738,889.12
  5. Step 5: Solve for x
    x = 4,287,738,889.12/80,067.71
  6. Step 6: Final answer
    x = 53,551.41

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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.