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Finding the Fourth Proportional to 138,911.14, 191,697.19 and 75,249.19

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Solution

The fourth proportional to 138,911.14, 191,697.19 and 75,249.19 is: 103,843.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,911.14 : 191,697.19 = 75,249.19 : x
  2. Step 2: Convert to fraction form
    138,911.14/191,697.19 = 75,249.19/x
  3. Step 3: Cross multiply
    138,911.14x = 191,697.19 × 75,249.19
  4. Step 4: Simplify right side
    138,911.14x = 14,425,058,272.78
  5. Step 5: Solve for x
    x = 14,425,058,272.78/138,911.14
  6. Step 6: Final answer
    x = 103,843.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.