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Finding the Fourth Proportional to 200,376.56, 300,299.16 and 81,983.72

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Solution

The fourth proportional to 200,376.56, 300,299.16 and 81,983.72 is: 122,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376.56 : 300,299.16 = 81,983.72 : x
  2. Step 2: Convert to fraction form
    200,376.56/300,299.16 = 81,983.72/x
  3. Step 3: Cross multiply
    200,376.56x = 300,299.16 × 81,983.72
  4. Step 4: Simplify right side
    200,376.56x = 24,619,642,249.68
  5. Step 5: Solve for x
    x = 24,619,642,249.68/200,376.56
  6. Step 6: Final answer
    x = 122,866.88

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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.