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Finding the Fourth Proportional to 203,982.63, 306,006.72 and 85,687.80

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Solution

The fourth proportional to 203,982.63, 306,006.72 and 85,687.80 is: 128,545.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982.63 : 306,006.72 = 85,687.80 : x
  2. Step 2: Convert to fraction form
    203,982.63/306,006.72 = 85,687.80/x
  3. Step 3: Cross multiply
    203,982.63x = 306,006.72 × 85,687.80
  4. Step 4: Simplify right side
    203,982.63x = 26,221,042,622.02
  5. Step 5: Solve for x
    x = 26,221,042,622.02/203,982.63
  6. Step 6: Final answer
    x = 128,545.47

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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.