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Finding the Fourth Proportional to 106,326, 159,489 and 43,998.12

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Solution

The fourth proportional to 106,326, 159,489 and 43,998.12 is: 65,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,326 : 159,489 = 43,998.12 : x
  2. Step 2: Convert to fraction form
    106,326/159,489 = 43,998.12/x
  3. Step 3: Cross multiply
    106,326x = 159,489 × 43,998.12
  4. Step 4: Simplify right side
    106,326x = 7,017,216,160.68
  5. Step 5: Solve for x
    x = 7,017,216,160.68/106,326
  6. Step 6: Final answer
    x = 65,997.18

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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.