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Finding the Fourth Proportional to 204,717.83, 306,931.32 and 78,251.54

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Solution

The fourth proportional to 204,717.83, 306,931.32 and 78,251.54 is: 117,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,717.83 : 306,931.32 = 78,251.54 : x
  2. Step 2: Convert to fraction form
    204,717.83/306,931.32 = 78,251.54/x
  3. Step 3: Cross multiply
    204,717.83x = 306,931.32 × 78,251.54
  4. Step 4: Simplify right side
    204,717.83x = 24,017,846,929.58
  5. Step 5: Solve for x
    x = 24,017,846,929.58/204,717.83
  6. Step 6: Final answer
    x = 117,321.72

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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.