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Finding the Fourth Proportional to 254,131.96, 381,211.62 and 67,138.36

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Solution

The fourth proportional to 254,131.96, 381,211.62 and 67,138.36 is: 100,711.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,131.96 : 381,211.62 = 67,138.36 : x
  2. Step 2: Convert to fraction form
    254,131.96/381,211.62 = 67,138.36/x
  3. Step 3: Cross multiply
    254,131.96x = 381,211.62 × 67,138.36
  4. Step 4: Simplify right side
    254,131.96x = 25,593,922,979.74
  5. Step 5: Solve for x
    x = 25,593,922,979.74/254,131.96
  6. Step 6: Final answer
    x = 100,711.15

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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.