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Finding the Fourth Proportional to 252,049.64, 378,111.80 and 81,214.11

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Solution

The fourth proportional to 252,049.64, 378,111.80 and 81,214.11 is: 121,833.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,049.64 : 378,111.80 = 81,214.11 : x
  2. Step 2: Convert to fraction form
    252,049.64/378,111.80 = 81,214.11/x
  3. Step 3: Cross multiply
    252,049.64x = 378,111.80 × 81,214.11
  4. Step 4: Simplify right side
    252,049.64x = 30,708,013,063.70
  5. Step 5: Solve for x
    x = 30,708,013,063.70/252,049.64
  6. Step 6: Final answer
    x = 121,833.20

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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.