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Finding the Fourth Proportional to 144,245.97, 199,060.05 and 78,836.12

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Solution

The fourth proportional to 144,245.97, 199,060.05 and 78,836.12 is: 108,794.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,245.97 : 199,060.05 = 78,836.12 : x
  2. Step 2: Convert to fraction form
    144,245.97/199,060.05 = 78,836.12/x
  3. Step 3: Cross multiply
    144,245.97x = 199,060.05 × 78,836.12
  4. Step 4: Simplify right side
    144,245.97x = 15,693,120,698.07
  5. Step 5: Solve for x
    x = 15,693,120,698.07/144,245.97
  6. Step 6: Final answer
    x = 108,794.17

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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.