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Finding the Fourth Proportional to 194,429.80, 291,414.30 and 82,109.80

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Solution

The fourth proportional to 194,429.80, 291,414.30 and 82,109.80 is: 123,067.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,429.80 : 291,414.30 = 82,109.80 : x
  2. Step 2: Convert to fraction form
    194,429.80/291,414.30 = 82,109.80/x
  3. Step 3: Cross multiply
    194,429.80x = 291,414.30 × 82,109.80
  4. Step 4: Simplify right side
    194,429.80x = 23,927,969,890.14
  5. Step 5: Solve for x
    x = 23,927,969,890.14/194,429.80
  6. Step 6: Final answer
    x = 123,067.40

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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.