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Finding the Fourth Proportional to 81,072, 121,553.82 and 33,674.76

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Solution

The fourth proportional to 81,072, 121,553.82 and 33,674.76 is: 50,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,072 : 121,553.82 = 33,674.76 : x
  2. Step 2: Convert to fraction form
    81,072/121,553.82 = 33,674.76/x
  3. Step 3: Cross multiply
    81,072x = 121,553.82 × 33,674.76
  4. Step 4: Simplify right side
    81,072x = 4,093,295,715.58
  5. Step 5: Solve for x
    x = 4,093,295,715.58/81,072
  6. Step 6: Final answer
    x = 50,489.64

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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.