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Finding the Fourth Proportional to 81,722.30, 122,590.49 and 22,557.98

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Solution

The fourth proportional to 81,722.30, 122,590.49 and 22,557.98 is: 33,838.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,722.30 : 122,590.49 = 22,557.98 : x
  2. Step 2: Convert to fraction form
    81,722.30/122,590.49 = 22,557.98/x
  3. Step 3: Cross multiply
    81,722.30x = 122,590.49 × 22,557.98
  4. Step 4: Simplify right side
    81,722.30x = 2,765,393,265.05
  5. Step 5: Solve for x
    x = 2,765,393,265.05/81,722.30
  6. Step 6: Final answer
    x = 33,838.91

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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.