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Finding the Fourth Proportional to 81,887.94, 122,844.20 and 29,285.10

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Solution

The fourth proportional to 81,887.94, 122,844.20 and 29,285.10 is: 43,932.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,887.94 : 122,844.20 = 29,285.10 : x
  2. Step 2: Convert to fraction form
    81,887.94/122,844.20 = 29,285.10/x
  3. Step 3: Cross multiply
    81,887.94x = 122,844.20 × 29,285.10
  4. Step 4: Simplify right side
    81,887.94x = 3,597,504,534.99
  5. Step 5: Solve for x
    x = 3,597,504,534.99/81,887.94
  6. Step 6: Final answer
    x = 43,932.04

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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.