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Finding the Fourth Proportional to 100,253, 150,379.50 and 30,132.38

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Solution

The fourth proportional to 100,253, 150,379.50 and 30,132.38 is: 45,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,253 : 150,379.50 = 30,132.38 : x
  2. Step 2: Convert to fraction form
    100,253/150,379.50 = 30,132.38/x
  3. Step 3: Cross multiply
    100,253x = 150,379.50 × 30,132.38
  4. Step 4: Simplify right side
    100,253x = 4,531,292,238.21
  5. Step 5: Solve for x
    x = 4,531,292,238.21/100,253
  6. Step 6: Final answer
    x = 45,198.57

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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.