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Finding the Fourth Proportional to 54,012, 81,013.92 and 18,954

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Solution

The fourth proportional to 54,012, 81,013.92 and 18,954 is: 28,429.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,012 : 81,013.92 = 18,954 : x
  2. Step 2: Convert to fraction form
    54,012/81,013.92 = 18,954/x
  3. Step 3: Cross multiply
    54,012x = 81,013.92 × 18,954
  4. Step 4: Simplify right side
    54,012x = 1,535,537,839.68
  5. Step 5: Solve for x
    x = 1,535,537,839.68/54,012
  6. Step 6: Final answer
    x = 28,429.57

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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.