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Finding the Fourth Proportional to 254,184, 381,276 and 67,195.50

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Solution

The fourth proportional to 254,184, 381,276 and 67,195.50 is: 100,793.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,184 : 381,276 = 67,195.50 : x
  2. Step 2: Convert to fraction form
    254,184/381,276 = 67,195.50/x
  3. Step 3: Cross multiply
    254,184x = 381,276 × 67,195.50
  4. Step 4: Simplify right side
    254,184x = 25,620,031,458
  5. Step 5: Solve for x
    x = 25,620,031,458/254,184
  6. Step 6: Final answer
    x = 100,793.25

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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.