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Finding the Fourth Proportional to 143,226.92, 214,785.18 and 54,433.64

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Solution

The fourth proportional to 143,226.92, 214,785.18 and 54,433.64 is: 81,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,226.92 : 214,785.18 = 54,433.64 : x
  2. Step 2: Convert to fraction form
    143,226.92/214,785.18 = 54,433.64/x
  3. Step 3: Cross multiply
    143,226.92x = 214,785.18 × 54,433.64
  4. Step 4: Simplify right side
    143,226.92x = 11,691,539,165.46
  5. Step 5: Solve for x
    x = 11,691,539,165.46/143,226.92
  6. Step 6: Final answer
    x = 81,629.48

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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.