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Finding the Fourth Proportional to 200,129.31, 299,896.90 and 111,260.57

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Solution

The fourth proportional to 200,129.31, 299,896.90 and 111,260.57 is: 166,725.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,129.31 : 299,896.90 = 111,260.57 : x
  2. Step 2: Convert to fraction form
    200,129.31/299,896.90 = 111,260.57/x
  3. Step 3: Cross multiply
    200,129.31x = 299,896.90 × 111,260.57
  4. Step 4: Simplify right side
    200,129.31x = 33,366,698,257.60
  5. Step 5: Solve for x
    x = 33,366,698,257.60/200,129.31
  6. Step 6: Final answer
    x = 166,725.69

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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.