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Finding the Fourth Proportional to 252,382.04, 378,491.14 and 83,857.11

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Solution

The fourth proportional to 252,382.04, 378,491.14 and 83,857.11 is: 125,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,382.04 : 378,491.14 = 83,857.11 : x
  2. Step 2: Convert to fraction form
    252,382.04/378,491.14 = 83,857.11/x
  3. Step 3: Cross multiply
    252,382.04x = 378,491.14 × 83,857.11
  4. Step 4: Simplify right side
    252,382.04x = 31,739,171,846.49
  5. Step 5: Solve for x
    x = 31,739,171,846.49/252,382.04
  6. Step 6: Final answer
    x = 125,758.44

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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.