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Finding the Fourth Proportional to 200,843.52, 300,863.64 and 120,837.36

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Solution

The fourth proportional to 200,843.52, 300,863.64 and 120,837.36 is: 181,014.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,843.52 : 300,863.64 = 120,837.36 : x
  2. Step 2: Convert to fraction form
    200,843.52/300,863.64 = 120,837.36/x
  3. Step 3: Cross multiply
    200,843.52x = 300,863.64 × 120,837.36
  4. Step 4: Simplify right side
    200,843.52x = 36,355,567,977.59
  5. Step 5: Solve for x
    x = 36,355,567,977.59/200,843.52
  6. Step 6: Final answer
    x = 181,014.39

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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.