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Finding the Fourth Proportional to 204,038.30, 306,057.45 and 85,843.10

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Solution

The fourth proportional to 204,038.30, 306,057.45 and 85,843.10 is: 128,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038.30 : 306,057.45 = 85,843.10 : x
  2. Step 2: Convert to fraction form
    204,038.30/306,057.45 = 85,843.10/x
  3. Step 3: Cross multiply
    204,038.30x = 306,057.45 × 85,843.10
  4. Step 4: Simplify right side
    204,038.30x = 26,272,920,286.10
  5. Step 5: Solve for x
    x = 26,272,920,286.10/204,038.30
  6. Step 6: Final answer
    x = 128,764.65

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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.