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Finding the Fourth Proportional to 100,209.65, 150,328.32 and 33,668.81

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Solution

The fourth proportional to 100,209.65, 150,328.32 and 33,668.81 is: 50,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,209.65 : 150,328.32 = 33,668.81 : x
  2. Step 2: Convert to fraction form
    100,209.65/150,328.32 = 33,668.81/x
  3. Step 3: Cross multiply
    100,209.65x = 150,328.32 × 33,668.81
  4. Step 4: Simplify right side
    100,209.65x = 5,061,375,643.70
  5. Step 5: Solve for x
    x = 5,061,375,643.70/100,209.65
  6. Step 6: Final answer
    x = 50,507.87

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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.