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Finding the Fourth Proportional to 252,043.65, 378,132.30 and 109,827.90

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Solution

The fourth proportional to 252,043.65, 378,132.30 and 109,827.90 is: 164,770.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,043.65 : 378,132.30 = 109,827.90 : x
  2. Step 2: Convert to fraction form
    252,043.65/378,132.30 = 109,827.90/x
  3. Step 3: Cross multiply
    252,043.65x = 378,132.30 × 109,827.90
  4. Step 4: Simplify right side
    252,043.65x = 41,529,476,431.17
  5. Step 5: Solve for x
    x = 41,529,476,431.17/252,043.65
  6. Step 6: Final answer
    x = 164,770.97

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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.