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Finding the Fourth Proportional to 100,252, 150,378 and 30,131.38

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Solution

The fourth proportional to 100,252, 150,378 and 30,131.38 is: 45,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,252 : 150,378 = 30,131.38 : x
  2. Step 2: Convert to fraction form
    100,252/150,378 = 30,131.38/x
  3. Step 3: Cross multiply
    100,252x = 150,378 × 30,131.38
  4. Step 4: Simplify right side
    100,252x = 4,531,096,661.64
  5. Step 5: Solve for x
    x = 4,531,096,661.64/100,252
  6. Step 6: Final answer
    x = 45,197.07

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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.