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Finding the Fourth Proportional to 81,973.20, 122,959.80 and 40,414.80

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Solution

The fourth proportional to 81,973.20, 122,959.80 and 40,414.80 is: 60,622.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,973.20 : 122,959.80 = 40,414.80 : x
  2. Step 2: Convert to fraction form
    81,973.20/122,959.80 = 40,414.80/x
  3. Step 3: Cross multiply
    81,973.20x = 122,959.80 × 40,414.80
  4. Step 4: Simplify right side
    81,973.20x = 4,969,395,725.04
  5. Step 5: Solve for x
    x = 4,969,395,725.04/81,973.20
  6. Step 6: Final answer
    x = 60,622.20

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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.