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Finding the Fourth Proportional to 135,595, 187,121.10 and 78,995.44

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Solution

The fourth proportional to 135,595, 187,121.10 and 78,995.44 is: 109,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,595 : 187,121.10 = 78,995.44 : x
  2. Step 2: Convert to fraction form
    135,595/187,121.10 = 78,995.44/x
  3. Step 3: Cross multiply
    135,595x = 187,121.10 × 78,995.44
  4. Step 4: Simplify right side
    135,595x = 14,781,713,627.78
  5. Step 5: Solve for x
    x = 14,781,713,627.78/135,595
  6. Step 6: Final answer
    x = 109,013.71

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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.