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Finding the Fourth Proportional to 204,735.84, 306,958.35 and 78,269.52

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Solution

The fourth proportional to 204,735.84, 306,958.35 and 78,269.52 is: 117,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,735.84 : 306,958.35 = 78,269.52 : x
  2. Step 2: Convert to fraction form
    204,735.84/306,958.35 = 78,269.52/x
  3. Step 3: Cross multiply
    204,735.84x = 306,958.35 × 78,269.52
  4. Step 4: Simplify right side
    204,735.84x = 24,025,482,714.49
  5. Step 5: Solve for x
    x = 24,025,482,714.49/204,735.84
  6. Step 6: Final answer
    x = 117,348.69

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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.