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Finding the Fourth Proportional to 81,865.41, 122,830.92 and 25,714.20

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Solution

The fourth proportional to 81,865.41, 122,830.92 and 25,714.20 is: 38,581.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,865.41 : 122,830.92 = 25,714.20 : x
  2. Step 2: Convert to fraction form
    81,865.41/122,830.92 = 25,714.20/x
  3. Step 3: Cross multiply
    81,865.41x = 122,830.92 × 25,714.20
  4. Step 4: Simplify right side
    81,865.41x = 3,158,498,843.06
  5. Step 5: Solve for x
    x = 3,158,498,843.06/81,865.41
  6. Step 6: Final answer
    x = 38,581.60

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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.