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Finding the Fourth Proportional to 100,219.65, 150,343.32 and 33,678.81

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Solution

The fourth proportional to 100,219.65, 150,343.32 and 33,678.81 is: 50,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.65 : 150,343.32 = 33,678.81 : x
  2. Step 2: Convert to fraction form
    100,219.65/150,343.32 = 33,678.81/x
  3. Step 3: Cross multiply
    100,219.65x = 150,343.32 × 33,678.81
  4. Step 4: Simplify right side
    100,219.65x = 5,063,384,109.05
  5. Step 5: Solve for x
    x = 5,063,384,109.05/100,219.65
  6. Step 6: Final answer
    x = 50,522.87

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1.5x scale

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.