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Finding the Fourth Proportional to 137,408.78, 206,132.73 and 42,647.15

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Solution

The fourth proportional to 137,408.78, 206,132.73 and 42,647.15 is: 63,976.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,408.78 : 206,132.73 = 42,647.15 : x
  2. Step 2: Convert to fraction form
    137,408.78/206,132.73 = 42,647.15/x
  3. Step 3: Cross multiply
    137,408.78x = 206,132.73 × 42,647.15
  4. Step 4: Simplify right side
    137,408.78x = 8,790,972,425.56
  5. Step 5: Solve for x
    x = 8,790,972,425.56/137,408.78
  6. Step 6: Final answer
    x = 63,976.79

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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.