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Finding the Fourth Proportional to 215,714, 323,634.84 and 110,606.72

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Solution

The fourth proportional to 215,714, 323,634.84 and 110,606.72 is: 165,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,714 : 323,634.84 = 110,606.72 : x
  2. Step 2: Convert to fraction form
    215,714/323,634.84 = 110,606.72/x
  3. Step 3: Cross multiply
    215,714x = 323,634.84 × 110,606.72
  4. Step 4: Simplify right side
    215,714x = 35,796,188,130.12
  5. Step 5: Solve for x
    x = 35,796,188,130.12/215,714
  6. Step 6: Final answer
    x = 165,942.81

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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.