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Finding the Fourth Proportional to 221,092.50, 331,640.92 and 54,880.50

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Solution

The fourth proportional to 221,092.50, 331,640.92 and 54,880.50 is: 82,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,092.50 : 331,640.92 = 54,880.50 : x
  2. Step 2: Convert to fraction form
    221,092.50/331,640.92 = 54,880.50/x
  3. Step 3: Cross multiply
    221,092.50x = 331,640.92 × 54,880.50
  4. Step 4: Simplify right side
    221,092.50x = 18,200,619,510.06
  5. Step 5: Solve for x
    x = 18,200,619,510.06/221,092.50
  6. Step 6: Final answer
    x = 82,321.29

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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.