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Finding the Fourth Proportional to 100,387.37, 150,491.75 and 38,101.61

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Solution

The fourth proportional to 100,387.37, 150,491.75 and 38,101.61 is: 57,118.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,387.37 : 150,491.75 = 38,101.61 : x
  2. Step 2: Convert to fraction form
    100,387.37/150,491.75 = 38,101.61/x
  3. Step 3: Cross multiply
    100,387.37x = 150,491.75 × 38,101.61
  4. Step 4: Simplify right side
    100,387.37x = 5,733,977,023.75
  5. Step 5: Solve for x
    x = 5,733,977,023.75/100,387.37
  6. Step 6: Final answer
    x = 57,118.51

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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.