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Finding the Fourth Proportional to 54,553.68, 81,729.72 and 28,230.48

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Solution

The fourth proportional to 54,553.68, 81,729.72 and 28,230.48 is: 42,293.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,553.68 : 81,729.72 = 28,230.48 : x
  2. Step 2: Convert to fraction form
    54,553.68/81,729.72 = 28,230.48/x
  3. Step 3: Cross multiply
    54,553.68x = 81,729.72 × 28,230.48
  4. Step 4: Simplify right side
    54,553.68x = 2,307,269,225.87
  5. Step 5: Solve for x
    x = 2,307,269,225.87/54,553.68
  6. Step 6: Final answer
    x = 42,293.56

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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.