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Finding the Fourth Proportional to 81,880.20, 122,813.82 and 29,284.20

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Solution

The fourth proportional to 81,880.20, 122,813.82 and 29,284.20 is: 43,923.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,880.20 : 122,813.82 = 29,284.20 : x
  2. Step 2: Convert to fraction form
    81,880.20/122,813.82 = 29,284.20/x
  3. Step 3: Cross multiply
    81,880.20x = 122,813.82 × 29,284.20
  4. Step 4: Simplify right side
    81,880.20x = 3,596,504,467.64
  5. Step 5: Solve for x
    x = 3,596,504,467.64/81,880.20
  6. Step 6: Final answer
    x = 43,923.98

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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.