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Finding the Fourth Proportional to 73,138.35, 109,703.88 and 25,755.78

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Solution

The fourth proportional to 73,138.35, 109,703.88 and 25,755.78 is: 38,632.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,138.35 : 109,703.88 = 25,755.78 : x
  2. Step 2: Convert to fraction form
    73,138.35/109,703.88 = 25,755.78/x
  3. Step 3: Cross multiply
    73,138.35x = 109,703.88 × 25,755.78
  4. Step 4: Simplify right side
    73,138.35x = 2,825,508,998.43
  5. Step 5: Solve for x
    x = 2,825,508,998.43/73,138.35
  6. Step 6: Final answer
    x = 38,632.39

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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.