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Finding the Fourth Proportional to 39,806.75, 59,714.31 and 19,821.20

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Solution

The fourth proportional to 39,806.75, 59,714.31 and 19,821.20 is: 29,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,806.75 : 59,714.31 = 19,821.20 : x
  2. Step 2: Convert to fraction form
    39,806.75/59,714.31 = 19,821.20/x
  3. Step 3: Cross multiply
    39,806.75x = 59,714.31 × 19,821.20
  4. Step 4: Simplify right side
    39,806.75x = 1,183,608,982.80
  5. Step 5: Solve for x
    x = 1,183,608,982.80/39,806.75
  6. Step 6: Final answer
    x = 29,733.88

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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.