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Finding the Fourth Proportional to 135,804.75, 187,401.78 and 75,375.42

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Solution

The fourth proportional to 135,804.75, 187,401.78 and 75,375.42 is: 104,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804.75 : 187,401.78 = 75,375.42 : x
  2. Step 2: Convert to fraction form
    135,804.75/187,401.78 = 75,375.42/x
  3. Step 3: Cross multiply
    135,804.75x = 187,401.78 × 75,375.42
  4. Step 4: Simplify right side
    135,804.75x = 14,125,487,876.25
  5. Step 5: Solve for x
    x = 14,125,487,876.25/135,804.75
  6. Step 6: Final answer
    x = 104,013.21

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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.