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Finding the Fourth Proportional to 144,081.56, 198,814.20 and 80,422.04

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Solution

The fourth proportional to 144,081.56, 198,814.20 and 80,422.04 is: 110,972.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,081.56 : 198,814.20 = 80,422.04 : x
  2. Step 2: Convert to fraction form
    144,081.56/198,814.20 = 80,422.04/x
  3. Step 3: Cross multiply
    144,081.56x = 198,814.20 × 80,422.04
  4. Step 4: Simplify right side
    144,081.56x = 15,989,042,550.90
  5. Step 5: Solve for x
    x = 15,989,042,550.90/144,081.56
  6. Step 6: Final answer
    x = 110,972.17

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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.