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Finding the Fourth Proportional to 254,262.72, 381,412.32 and 67,272

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Solution

The fourth proportional to 254,262.72, 381,412.32 and 67,272 is: 100,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,262.72 : 381,412.32 = 67,272 : x
  2. Step 2: Convert to fraction form
    254,262.72/381,412.32 = 67,272/x
  3. Step 3: Cross multiply
    254,262.72x = 381,412.32 × 67,272
  4. Step 4: Simplify right side
    254,262.72x = 25,658,369,591.04
  5. Step 5: Solve for x
    x = 25,658,369,591.04/254,262.72
  6. Step 6: Final answer
    x = 100,912.83

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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.