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Finding the Fourth Proportional to 254,186, 381,279 and 67,197.50

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Solution

The fourth proportional to 254,186, 381,279 and 67,197.50 is: 100,796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,186 : 381,279 = 67,197.50 : x
  2. Step 2: Convert to fraction form
    254,186/381,279 = 67,197.50/x
  3. Step 3: Cross multiply
    254,186x = 381,279 × 67,197.50
  4. Step 4: Simplify right side
    254,186x = 25,620,995,602.50
  5. Step 5: Solve for x
    x = 25,620,995,602.50/254,186
  6. Step 6: Final answer
    x = 100,796.25

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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.