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Finding the Fourth Proportional to 54,014, 81,016.92 and 18,956

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Solution

The fourth proportional to 54,014, 81,016.92 and 18,956 is: 28,432.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,014 : 81,016.92 = 18,956 : x
  2. Step 2: Convert to fraction form
    54,014/81,016.92 = 18,956/x
  3. Step 3: Cross multiply
    54,014x = 81,016.92 × 18,956
  4. Step 4: Simplify right side
    54,014x = 1,535,756,735.52
  5. Step 5: Solve for x
    x = 1,535,756,735.52/54,014
  6. Step 6: Final answer
    x = 28,432.57

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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.