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Finding the Fourth Proportional to 99,161, 136,842.18 and 54,449

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Solution

The fourth proportional to 99,161, 136,842.18 and 54,449 is: 75,139.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,161 : 136,842.18 = 54,449 : x
  2. Step 2: Convert to fraction form
    99,161/136,842.18 = 54,449/x
  3. Step 3: Cross multiply
    99,161x = 136,842.18 × 54,449
  4. Step 4: Simplify right side
    99,161x = 7,450,919,858.82
  5. Step 5: Solve for x
    x = 7,450,919,858.82/99,161
  6. Step 6: Final answer
    x = 75,139.62

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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.