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Finding the Fourth Proportional to 55,137.87, 82,734.17 and 21,857.22

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Solution

The fourth proportional to 55,137.87, 82,734.17 and 21,857.22 is: 32,796.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137.87 : 82,734.17 = 21,857.22 : x
  2. Step 2: Convert to fraction form
    55,137.87/82,734.17 = 21,857.22/x
  3. Step 3: Cross multiply
    55,137.87x = 82,734.17 × 21,857.22
  4. Step 4: Simplify right side
    55,137.87x = 1,808,338,845.92
  5. Step 5: Solve for x
    x = 1,808,338,845.92/55,137.87
  6. Step 6: Final answer
    x = 32,796.68

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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.