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Finding the Fourth Proportional to 72,843.60, 109,281.84 and 22,247.16

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Solution

The fourth proportional to 72,843.60, 109,281.84 and 22,247.16 is: 33,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,843.60 : 109,281.84 = 22,247.16 : x
  2. Step 2: Convert to fraction form
    72,843.60/109,281.84 = 22,247.16/x
  3. Step 3: Cross multiply
    72,843.60x = 109,281.84 × 22,247.16
  4. Step 4: Simplify right side
    72,843.60x = 2,431,210,579.57
  5. Step 5: Solve for x
    x = 2,431,210,579.57/72,843.60
  6. Step 6: Final answer
    x = 33,375.76

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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.