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Finding the Fourth Proportional to 213,424.56, 320,185.44 and 73,174.68

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Solution

The fourth proportional to 213,424.56, 320,185.44 and 73,174.68 is: 109,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,424.56 : 320,185.44 = 73,174.68 : x
  2. Step 2: Convert to fraction form
    213,424.56/320,185.44 = 73,174.68/x
  3. Step 3: Cross multiply
    213,424.56x = 320,185.44 × 73,174.68
  4. Step 4: Simplify right side
    213,424.56x = 23,429,467,112.66
  5. Step 5: Solve for x
    x = 23,429,467,112.66/213,424.56
  6. Step 6: Final answer
    x = 109,778.68

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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.