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Finding the Fourth Proportional to 54,310.52, 81,509.80 and 28,022.78

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Solution

The fourth proportional to 54,310.52, 81,509.80 and 28,022.78 is: 42,056.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,310.52 : 81,509.80 = 28,022.78 : x
  2. Step 2: Convert to fraction form
    54,310.52/81,509.80 = 28,022.78/x
  3. Step 3: Cross multiply
    54,310.52x = 81,509.80 × 28,022.78
  4. Step 4: Simplify right side
    54,310.52x = 2,284,131,193.24
  5. Step 5: Solve for x
    x = 2,284,131,193.24/54,310.52
  6. Step 6: Final answer
    x = 42,056.88

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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.