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Finding the Fourth Proportional to 81,882.40, 122,823.60 and 40,320.80

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Solution

The fourth proportional to 81,882.40, 122,823.60 and 40,320.80 is: 60,481.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.40 : 122,823.60 = 40,320.80 : x
  2. Step 2: Convert to fraction form
    81,882.40/122,823.60 = 40,320.80/x
  3. Step 3: Cross multiply
    81,882.40x = 122,823.60 × 40,320.80
  4. Step 4: Simplify right side
    81,882.40x = 4,952,345,810.88
  5. Step 5: Solve for x
    x = 4,952,345,810.88/81,882.40
  6. Step 6: Final answer
    x = 60,481.20

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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.