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Finding the Fourth Proportional to 144,991.78, 200,088.25 and 80,470.76

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Solution

The fourth proportional to 144,991.78, 200,088.25 and 80,470.76 is: 111,049.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,991.78 : 200,088.25 = 80,470.76 : x
  2. Step 2: Convert to fraction form
    144,991.78/200,088.25 = 80,470.76/x
  3. Step 3: Cross multiply
    144,991.78x = 200,088.25 × 80,470.76
  4. Step 4: Simplify right side
    144,991.78x = 16,101,253,544.57
  5. Step 5: Solve for x
    x = 16,101,253,544.57/144,991.78
  6. Step 6: Final answer
    x = 111,049.42

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1.5x scale

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.