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Finding the Fourth Proportional to 100,449.46, 150,674.20 and 78,279.44

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Solution

The fourth proportional to 100,449.46, 150,674.20 and 78,279.44 is: 117,419.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,449.46 : 150,674.20 = 78,279.44 : x
  2. Step 2: Convert to fraction form
    100,449.46/150,674.20 = 78,279.44/x
  3. Step 3: Cross multiply
    100,449.46x = 150,674.20 × 78,279.44
  4. Step 4: Simplify right side
    100,449.46x = 11,794,692,179.43
  5. Step 5: Solve for x
    x = 11,794,692,179.43/100,449.46
  6. Step 6: Final answer
    x = 117,419.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.