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Finding the Fourth Proportional to 144,233.84, 199,046.76 and 80,578.64

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Solution

The fourth proportional to 144,233.84, 199,046.76 and 80,578.64 is: 111,200.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,233.84 : 199,046.76 = 80,578.64 : x
  2. Step 2: Convert to fraction form
    144,233.84/199,046.76 = 80,578.64/x
  3. Step 3: Cross multiply
    144,233.84x = 199,046.76 × 80,578.64
  4. Step 4: Simplify right side
    144,233.84x = 16,038,917,217.21
  5. Step 5: Solve for x
    x = 16,038,917,217.21/144,233.84
  6. Step 6: Final answer
    x = 111,200.79

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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.