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Finding the Fourth Proportional to 221,782.98, 332,711.22 and 71,991.72

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Solution

The fourth proportional to 221,782.98, 332,711.22 and 71,991.72 is: 107,999.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,782.98 : 332,711.22 = 71,991.72 : x
  2. Step 2: Convert to fraction form
    221,782.98/332,711.22 = 71,991.72/x
  3. Step 3: Cross multiply
    221,782.98x = 332,711.22 × 71,991.72
  4. Step 4: Simplify right side
    221,782.98x = 23,952,452,991.10
  5. Step 5: Solve for x
    x = 23,952,452,991.10/221,782.98
  6. Step 6: Final answer
    x = 107,999.51

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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.