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Finding the Fourth Proportional to 220,980.48, 331,424.16 and 71,234.16

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Solution

The fourth proportional to 220,980.48, 331,424.16 and 71,234.16 is: 106,836.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,980.48 : 331,424.16 = 71,234.16 : x
  2. Step 2: Convert to fraction form
    220,980.48/331,424.16 = 71,234.16/x
  3. Step 3: Cross multiply
    220,980.48x = 331,424.16 × 71,234.16
  4. Step 4: Simplify right side
    220,980.48x = 23,608,721,641.31
  5. Step 5: Solve for x
    x = 23,608,721,641.31/220,980.48
  6. Step 6: Final answer
    x = 106,836.23

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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.