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Finding the Fourth Proportional to 67,872.74, 101,843.01 and 30,459.56

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Solution

The fourth proportional to 67,872.74, 101,843.01 and 30,459.56 is: 45,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,872.74 : 101,843.01 = 30,459.56 : x
  2. Step 2: Convert to fraction form
    67,872.74/101,843.01 = 30,459.56/x
  3. Step 3: Cross multiply
    67,872.74x = 101,843.01 × 30,459.56
  4. Step 4: Simplify right side
    67,872.74x = 3,102,092,764.46
  5. Step 5: Solve for x
    x = 3,102,092,764.46/67,872.74
  6. Step 6: Final answer
    x = 45,704.55

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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.