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Finding the Fourth Proportional to 144,694.89, 199,678.95 and 80,168.31

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Solution

The fourth proportional to 144,694.89, 199,678.95 and 80,168.31 is: 110,632.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,694.89 : 199,678.95 = 80,168.31 : x
  2. Step 2: Convert to fraction form
    144,694.89/199,678.95 = 80,168.31/x
  3. Step 3: Cross multiply
    144,694.89x = 199,678.95 × 80,168.31
  4. Step 4: Simplify right side
    144,694.89x = 16,007,923,964.07
  5. Step 5: Solve for x
    x = 16,007,923,964.07/144,694.89
  6. Step 6: Final answer
    x = 110,632.27

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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.