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Finding the Fourth Proportional to 100,305.41, 150,375.20 and 78,216.71

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Solution

The fourth proportional to 100,305.41, 150,375.20 and 78,216.71 is: 117,260.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,305.41 : 150,375.20 = 78,216.71 : x
  2. Step 2: Convert to fraction form
    100,305.41/150,375.20 = 78,216.71/x
  3. Step 3: Cross multiply
    100,305.41x = 150,375.20 × 78,216.71
  4. Step 4: Simplify right side
    100,305.41x = 11,761,853,394.45
  5. Step 5: Solve for x
    x = 11,761,853,394.45/100,305.41
  6. Step 6: Final answer
    x = 117,260.41

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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.