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Finding the Fourth Proportional to 80,642.84, 120,993.84 and 28,067.36

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Solution

The fourth proportional to 80,642.84, 120,993.84 and 28,067.36 is: 42,111.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,642.84 : 120,993.84 = 28,067.36 : x
  2. Step 2: Convert to fraction form
    80,642.84/120,993.84 = 28,067.36/x
  3. Step 3: Cross multiply
    80,642.84x = 120,993.84 × 28,067.36
  4. Step 4: Simplify right side
    80,642.84x = 3,395,977,060.09
  5. Step 5: Solve for x
    x = 3,395,977,060.09/80,642.84
  6. Step 6: Final answer
    x = 42,111.33

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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.