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Finding the Fourth Proportional to 200,089.08, 300,022.84 and 81,843.48

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Solution

The fourth proportional to 200,089.08, 300,022.84 and 81,843.48 is: 122,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,089.08 : 300,022.84 = 81,843.48 : x
  2. Step 2: Convert to fraction form
    200,089.08/300,022.84 = 81,843.48/x
  3. Step 3: Cross multiply
    200,089.08x = 300,022.84 × 81,843.48
  4. Step 4: Simplify right side
    200,089.08x = 24,554,913,305.08
  5. Step 5: Solve for x
    x = 24,554,913,305.08/200,089.08
  6. Step 6: Final answer
    x = 122,719.91

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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.