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Finding the Fourth Proportional to 144,768.76, 199,786.62 and 81,107.08

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Solution

The fourth proportional to 144,768.76, 199,786.62 and 81,107.08 is: 111,930.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,768.76 : 199,786.62 = 81,107.08 : x
  2. Step 2: Convert to fraction form
    144,768.76/199,786.62 = 81,107.08/x
  3. Step 3: Cross multiply
    144,768.76x = 199,786.62 × 81,107.08
  4. Step 4: Simplify right side
    144,768.76x = 16,204,109,371.27
  5. Step 5: Solve for x
    x = 16,204,109,371.27/144,768.76
  6. Step 6: Final answer
    x = 111,930.98

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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.