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Finding the Fourth Proportional to 213,548.22, 320,351.76 and 73,288.62

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Solution

The fourth proportional to 213,548.22, 320,351.76 and 73,288.62 is: 109,943.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,548.22 : 320,351.76 = 73,288.62 : x
  2. Step 2: Convert to fraction form
    213,548.22/320,351.76 = 73,288.62/x
  3. Step 3: Cross multiply
    213,548.22x = 320,351.76 × 73,288.62
  4. Step 4: Simplify right side
    213,548.22x = 23,478,138,404.97
  5. Step 5: Solve for x
    x = 23,478,138,404.97/213,548.22
  6. Step 6: Final answer
    x = 109,943.03

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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.