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Finding the Fourth Proportional to 81,356.74, 122,121.37 and 72,057.13

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Solution

The fourth proportional to 81,356.74, 122,121.37 and 72,057.13 is: 108,162.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,356.74 : 122,121.37 = 72,057.13 : x
  2. Step 2: Convert to fraction form
    81,356.74/122,121.37 = 72,057.13/x
  3. Step 3: Cross multiply
    81,356.74x = 122,121.37 × 72,057.13
  4. Step 4: Simplify right side
    81,356.74x = 8,799,715,433.87
  5. Step 5: Solve for x
    x = 8,799,715,433.87/81,356.74
  6. Step 6: Final answer
    x = 108,162.09

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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.