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Finding the Fourth Proportional to 81,198, 121,816.44 and 25,794

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Solution

The fourth proportional to 81,198, 121,816.44 and 25,794 is: 38,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,198 : 121,816.44 = 25,794 : x
  2. Step 2: Convert to fraction form
    81,198/121,816.44 = 25,794/x
  3. Step 3: Cross multiply
    81,198x = 121,816.44 × 25,794
  4. Step 4: Simplify right side
    81,198x = 3,142,133,253.36
  5. Step 5: Solve for x
    x = 3,142,133,253.36/81,198
  6. Step 6: Final answer
    x = 38,697.18

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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.