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Finding the Fourth Proportional to 220,901, 331,351.50 and 54,689

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Solution

The fourth proportional to 220,901, 331,351.50 and 54,689 is: 82,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,901 : 331,351.50 = 54,689 : x
  2. Step 2: Convert to fraction form
    220,901/331,351.50 = 54,689/x
  3. Step 3: Cross multiply
    220,901x = 331,351.50 × 54,689
  4. Step 4: Simplify right side
    220,901x = 18,121,282,183.50
  5. Step 5: Solve for x
    x = 18,121,282,183.50/220,901
  6. Step 6: Final answer
    x = 82,033.50

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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.