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Finding the Fourth Proportional to 200,219.52, 300,018.24 and 126,192

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Solution

The fourth proportional to 200,219.52, 300,018.24 and 126,192 is: 189,091.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,219.52 : 300,018.24 = 126,192 : x
  2. Step 2: Convert to fraction form
    200,219.52/300,018.24 = 126,192/x
  3. Step 3: Cross multiply
    200,219.52x = 300,018.24 × 126,192
  4. Step 4: Simplify right side
    200,219.52x = 37,859,901,742.08
  5. Step 5: Solve for x
    x = 37,859,901,742.08/200,219.52
  6. Step 6: Final answer
    x = 189,091.96

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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.