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Finding the Fourth Proportional to 213,694.64, 320,563.32 and 73,434.80

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Solution

The fourth proportional to 213,694.64, 320,563.32 and 73,434.80 is: 110,159.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,694.64 : 320,563.32 = 73,434.80 : x
  2. Step 2: Convert to fraction form
    213,694.64/320,563.32 = 73,434.80/x
  3. Step 3: Cross multiply
    213,694.64x = 320,563.32 × 73,434.80
  4. Step 4: Simplify right side
    213,694.64x = 23,540,503,291.54
  5. Step 5: Solve for x
    x = 23,540,503,291.54/213,694.64
  6. Step 6: Final answer
    x = 110,159.54

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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.