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Finding the Fourth Proportional to 54,116, 81,102.72 and 22,912.64

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Solution

The fourth proportional to 54,116, 81,102.72 and 22,912.64 is: 34,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,116 : 81,102.72 = 22,912.64 : x
  2. Step 2: Convert to fraction form
    54,116/81,102.72 = 22,912.64/x
  3. Step 3: Cross multiply
    54,116x = 81,102.72 × 22,912.64
  4. Step 4: Simplify right side
    54,116x = 1,858,277,426.38
  5. Step 5: Solve for x
    x = 1,858,277,426.38/54,116
  6. Step 6: Final answer
    x = 34,338.78

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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.