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Finding the Fourth Proportional to 213,563.72, 320,323.68 and 55,771.64

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Solution

The fourth proportional to 213,563.72, 320,323.68 and 55,771.64 is: 83,651.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,563.72 : 320,323.68 = 55,771.64 : x
  2. Step 2: Convert to fraction form
    213,563.72/320,323.68 = 55,771.64/x
  3. Step 3: Cross multiply
    213,563.72x = 320,323.68 × 55,771.64
  4. Step 4: Simplify right side
    213,563.72x = 17,864,976,964.44
  5. Step 5: Solve for x
    x = 17,864,976,964.44/213,563.72
  6. Step 6: Final answer
    x = 83,651.74

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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.