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Finding the Fourth Proportional to 213,696.62, 320,261.78 and 113,641.37

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Solution

The fourth proportional to 213,696.62, 320,261.78 and 113,641.37 is: 170,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,696.62 : 320,261.78 = 113,641.37 : x
  2. Step 2: Convert to fraction form
    213,696.62/320,261.78 = 113,641.37/x
  3. Step 3: Cross multiply
    213,696.62x = 320,261.78 × 113,641.37
  4. Step 4: Simplify right side
    213,696.62x = 36,394,986,120.63
  5. Step 5: Solve for x
    x = 36,394,986,120.63/213,696.62
  6. Step 6: Final answer
    x = 170,311.48

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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.