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Finding the Fourth Proportional to 204,644.32, 306,947.04 and 71,500

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Solution

The fourth proportional to 204,644.32, 306,947.04 and 71,500 is: 107,243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,644.32 : 306,947.04 = 71,500 : x
  2. Step 2: Convert to fraction form
    204,644.32/306,947.04 = 71,500/x
  3. Step 3: Cross multiply
    204,644.32x = 306,947.04 × 71,500
  4. Step 4: Simplify right side
    204,644.32x = 21,946,713,360
  5. Step 5: Solve for x
    x = 21,946,713,360/204,644.32
  6. Step 6: Final answer
    x = 107,243.21

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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.