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Finding the Fourth Proportional to 100,408.62, 150,375.45 and 87,189.15

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Solution

The fourth proportional to 100,408.62, 150,375.45 and 87,189.15 is: 130,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.62 : 150,375.45 = 87,189.15 : x
  2. Step 2: Convert to fraction form
    100,408.62/150,375.45 = 87,189.15/x
  3. Step 3: Cross multiply
    100,408.62x = 150,375.45 × 87,189.15
  4. Step 4: Simplify right side
    100,408.62x = 13,111,107,666.37
  5. Step 5: Solve for x
    x = 13,111,107,666.37/100,408.62
  6. Step 6: Final answer
    x = 130,577.51

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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.