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Finding the Fourth Proportional to 221,218.50, 331,828.97 and 55,006.50

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Solution

The fourth proportional to 221,218.50, 331,828.97 and 55,006.50 is: 82,510.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,218.50 : 331,828.97 = 55,006.50 : x
  2. Step 2: Convert to fraction form
    221,218.50/331,828.97 = 55,006.50/x
  3. Step 3: Cross multiply
    221,218.50x = 331,828.97 × 55,006.50
  4. Step 4: Simplify right side
    221,218.50x = 18,252,749,963.27
  5. Step 5: Solve for x
    x = 18,252,749,963.27/221,218.50
  6. Step 6: Final answer
    x = 82,510.05

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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.