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Finding the Fourth Proportional to 54,013.81, 81,028.82 and 18,947.29

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Solution

The fourth proportional to 54,013.81, 81,028.82 and 18,947.29 is: 28,423.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,013.81 : 81,028.82 = 18,947.29 : x
  2. Step 2: Convert to fraction form
    54,013.81/81,028.82 = 18,947.29/x
  3. Step 3: Cross multiply
    54,013.81x = 81,028.82 × 18,947.29
  4. Step 4: Simplify right side
    54,013.81x = 1,535,276,550.90
  5. Step 5: Solve for x
    x = 1,535,276,550.90/54,013.81
  6. Step 6: Final answer
    x = 28,423.78

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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.