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Finding the Fourth Proportional to 199,784.70, 275,712.73 and 113,745.39

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Solution

The fourth proportional to 199,784.70, 275,712.73 and 113,745.39 is: 156,974.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,784.70 : 275,712.73 = 113,745.39 : x
  2. Step 2: Convert to fraction form
    199,784.70/275,712.73 = 113,745.39/x
  3. Step 3: Cross multiply
    199,784.70x = 275,712.73 × 113,745.39
  4. Step 4: Simplify right side
    199,784.70x = 31,361,052,286.18
  5. Step 5: Solve for x
    x = 31,361,052,286.18/199,784.70
  6. Step 6: Final answer
    x = 156,974.24

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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.