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Finding the Fourth Proportional to 200,164.92, 300,349.21 and 87,816

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Solution

The fourth proportional to 200,164.92, 300,349.21 and 87,816 is: 131,768.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,164.92 : 300,349.21 = 87,816 : x
  2. Step 2: Convert to fraction form
    200,164.92/300,349.21 = 87,816/x
  3. Step 3: Cross multiply
    200,164.92x = 300,349.21 × 87,816
  4. Step 4: Simplify right side
    200,164.92x = 26,375,466,005.82
  5. Step 5: Solve for x
    x = 26,375,466,005.82/200,164.92
  6. Step 6: Final answer
    x = 131,768.67

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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.