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Finding the Fourth Proportional to 135,847, 187,469.22 and 76,231

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Solution

The fourth proportional to 135,847, 187,469.22 and 76,231 is: 105,198.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,847 : 187,469.22 = 76,231 : x
  2. Step 2: Convert to fraction form
    135,847/187,469.22 = 76,231/x
  3. Step 3: Cross multiply
    135,847x = 187,469.22 × 76,231
  4. Step 4: Simplify right side
    135,847x = 14,290,966,109.82
  5. Step 5: Solve for x
    x = 14,290,966,109.82/135,847
  6. Step 6: Final answer
    x = 105,198.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.