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Finding the Fourth Proportional to 81,814.70, 122,715.56 and 29,218.70

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Solution

The fourth proportional to 81,814.70, 122,715.56 and 29,218.70 is: 43,825.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,814.70 : 122,715.56 = 29,218.70 : x
  2. Step 2: Convert to fraction form
    81,814.70/122,715.56 = 29,218.70/x
  3. Step 3: Cross multiply
    81,814.70x = 122,715.56 × 29,218.70
  4. Step 4: Simplify right side
    81,814.70x = 3,585,589,132.97
  5. Step 5: Solve for x
    x = 3,585,589,132.97/81,814.70
  6. Step 6: Final answer
    x = 43,825.73

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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.