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Finding the Fourth Proportional to 99,198, 136,902.42 and 54,494.64

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Solution

The fourth proportional to 99,198, 136,902.42 and 54,494.64 is: 75,207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,198 : 136,902.42 = 54,494.64 : x
  2. Step 2: Convert to fraction form
    99,198/136,902.42 = 54,494.64/x
  3. Step 3: Cross multiply
    99,198x = 136,902.42 × 54,494.64
  4. Step 4: Simplify right side
    99,198x = 7,460,448,093.03
  5. Step 5: Solve for x
    x = 7,460,448,093.03/99,198
  6. Step 6: Final answer
    x = 75,207.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.