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Finding the Fourth Proportional to 82,286.04, 123,429.06 and 19,956

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Solution

The fourth proportional to 82,286.04, 123,429.06 and 19,956 is: 29,934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286.04 : 123,429.06 = 19,956 : x
  2. Step 2: Convert to fraction form
    82,286.04/123,429.06 = 19,956/x
  3. Step 3: Cross multiply
    82,286.04x = 123,429.06 × 19,956
  4. Step 4: Simplify right side
    82,286.04x = 2,463,150,321.36
  5. Step 5: Solve for x
    x = 2,463,150,321.36/82,286.04
  6. Step 6: Final answer
    x = 29,934.00

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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.