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Finding the Fourth Proportional to 200,234.38, 300,343.80 and 73,819.95

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Solution

The fourth proportional to 200,234.38, 300,343.80 and 73,819.95 is: 110,727.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,234.38 : 300,343.80 = 73,819.95 : x
  2. Step 2: Convert to fraction form
    200,234.38/300,343.80 = 73,819.95/x
  3. Step 3: Cross multiply
    200,234.38x = 300,343.80 × 73,819.95
  4. Step 4: Simplify right side
    200,234.38x = 22,171,364,298.81
  5. Step 5: Solve for x
    x = 22,171,364,298.81/200,234.38
  6. Step 6: Final answer
    x = 110,727.06

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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.