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Finding the Fourth Proportional to 135,675.75, 187,234.88 and 75,249.03

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Solution

The fourth proportional to 135,675.75, 187,234.88 and 75,249.03 is: 103,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,675.75 : 187,234.88 = 75,249.03 : x
  2. Step 2: Convert to fraction form
    135,675.75/187,234.88 = 75,249.03/x
  3. Step 3: Cross multiply
    135,675.75x = 187,234.88 × 75,249.03
  4. Step 4: Simplify right side
    135,675.75x = 14,089,242,725.92
  5. Step 5: Solve for x
    x = 14,089,242,725.92/135,675.75
  6. Step 6: Final answer
    x = 103,844.96

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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.