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Finding the Fourth Proportional to 204,287.44, 306,363.12 and 85,936.72

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Solution

The fourth proportional to 204,287.44, 306,363.12 and 85,936.72 is: 128,876.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,287.44 : 306,363.12 = 85,936.72 : x
  2. Step 2: Convert to fraction form
    204,287.44/306,363.12 = 85,936.72/x
  3. Step 3: Cross multiply
    204,287.44x = 306,363.12 × 85,936.72
  4. Step 4: Simplify right side
    204,287.44x = 26,327,841,661.77
  5. Step 5: Solve for x
    x = 26,327,841,661.77/204,287.44
  6. Step 6: Final answer
    x = 128,876.46

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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.