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Finding the Fourth Proportional to 201,992.09, 302,917.29 and 110,789.18

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Solution

The fourth proportional to 201,992.09, 302,917.29 and 110,789.18 is: 166,144.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,992.09 : 302,917.29 = 110,789.18 : x
  2. Step 2: Convert to fraction form
    201,992.09/302,917.29 = 110,789.18/x
  3. Step 3: Cross multiply
    201,992.09x = 302,917.29 × 110,789.18
  4. Step 4: Simplify right side
    201,992.09x = 33,559,958,166.92
  5. Step 5: Solve for x
    x = 33,559,958,166.92/201,992.09
  6. Step 6: Final answer
    x = 166,144.91

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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.