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Finding the Fourth Proportional to 252,111.20, 378,141.20 and 85,896.80

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Solution

The fourth proportional to 252,111.20, 378,141.20 and 85,896.80 is: 128,836.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,111.20 : 378,141.20 = 85,896.80 : x
  2. Step 2: Convert to fraction form
    252,111.20/378,141.20 = 85,896.80/x
  3. Step 3: Cross multiply
    252,111.20x = 378,141.20 × 85,896.80
  4. Step 4: Simplify right side
    252,111.20x = 32,481,119,028.16
  5. Step 5: Solve for x
    x = 32,481,119,028.16/252,111.20
  6. Step 6: Final answer
    x = 128,836.48

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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.