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Finding the Fourth Proportional to 100,568, 150,871.41 and 38,233.64

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Solution

The fourth proportional to 100,568, 150,871.41 and 38,233.64 is: 57,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,568 : 150,871.41 = 38,233.64 : x
  2. Step 2: Convert to fraction form
    100,568/150,871.41 = 38,233.64/x
  3. Step 3: Cross multiply
    100,568x = 150,871.41 × 38,233.64
  4. Step 4: Simplify right side
    100,568x = 5,768,363,176.23
  5. Step 5: Solve for x
    x = 5,768,363,176.23/100,568
  6. Step 6: Final answer
    x = 57,357.84

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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.