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Finding the Fourth Proportional to 200,081.08, 300,010.83 and 81,835.46

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Solution

The fourth proportional to 200,081.08, 300,010.83 and 81,835.46 is: 122,707.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,081.08 : 300,010.83 = 81,835.46 : x
  2. Step 2: Convert to fraction form
    200,081.08/300,010.83 = 81,835.46/x
  3. Step 3: Cross multiply
    200,081.08x = 300,010.83 × 81,835.46
  4. Step 4: Simplify right side
    200,081.08x = 24,551,524,278.03
  5. Step 5: Solve for x
    x = 24,551,524,278.03/200,081.08
  6. Step 6: Final answer
    x = 122,707.88

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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.