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Finding the Fourth Proportional to 81,879.26, 122,818.92 and 29,285.60

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Solution

The fourth proportional to 81,879.26, 122,818.92 and 29,285.60 is: 43,928.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,879.26 : 122,818.92 = 29,285.60 : x
  2. Step 2: Convert to fraction form
    81,879.26/122,818.92 = 29,285.60/x
  3. Step 3: Cross multiply
    81,879.26x = 122,818.92 × 29,285.60
  4. Step 4: Simplify right side
    81,879.26x = 3,596,825,763.55
  5. Step 5: Solve for x
    x = 3,596,825,763.55/81,879.26
  6. Step 6: Final answer
    x = 43,928.41

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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.