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Finding the Fourth Proportional to 144,976.12, 200,079.12 and 80,451.44

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Solution

The fourth proportional to 144,976.12, 200,079.12 and 80,451.44 is: 111,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,976.12 : 200,079.12 = 80,451.44 : x
  2. Step 2: Convert to fraction form
    144,976.12/200,079.12 = 80,451.44/x
  3. Step 3: Cross multiply
    144,976.12x = 200,079.12 × 80,451.44
  4. Step 4: Simplify right side
    144,976.12x = 16,096,653,317.93
  5. Step 5: Solve for x
    x = 16,096,653,317.93/144,976.12
  6. Step 6: Final answer
    x = 111,029.69

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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.