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Finding the Fourth Proportional to 81,880.83, 122,807.52 and 22,722.48

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Solution

The fourth proportional to 81,880.83, 122,807.52 and 22,722.48 is: 34,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,880.83 : 122,807.52 = 22,722.48 : x
  2. Step 2: Convert to fraction form
    81,880.83/122,807.52 = 22,722.48/x
  3. Step 3: Cross multiply
    81,880.83x = 122,807.52 × 22,722.48
  4. Step 4: Simplify right side
    81,880.83x = 2,790,491,417.05
  5. Step 5: Solve for x
    x = 2,790,491,417.05/81,880.83
  6. Step 6: Final answer
    x = 34,079.91

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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.