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Finding the Fourth Proportional to 144,949.68, 200,020.32 and 80,422.20

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Solution

The fourth proportional to 144,949.68, 200,020.32 and 80,422.20 is: 110,976.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,949.68 : 200,020.32 = 80,422.20 : x
  2. Step 2: Convert to fraction form
    144,949.68/200,020.32 = 80,422.20/x
  3. Step 3: Cross multiply
    144,949.68x = 200,020.32 × 80,422.20
  4. Step 4: Simplify right side
    144,949.68x = 16,086,074,179.10
  5. Step 5: Solve for x
    x = 16,086,074,179.10/144,949.68
  6. Step 6: Final answer
    x = 110,976.96

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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.