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Finding the Fourth Proportional to 100,395, 150,561.78 and 33,817.28

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Solution

The fourth proportional to 100,395, 150,561.78 and 33,817.28 is: 50,715.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,395 : 150,561.78 = 33,817.28 : x
  2. Step 2: Convert to fraction form
    100,395/150,561.78 = 33,817.28/x
  3. Step 3: Cross multiply
    100,395x = 150,561.78 × 33,817.28
  4. Step 4: Simplify right side
    100,395x = 5,091,589,871.56
  5. Step 5: Solve for x
    x = 5,091,589,871.56/100,395
  6. Step 6: Final answer
    x = 50,715.57

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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.