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Finding the Fourth Proportional to 204,776.82, 306,954.54 and 78,387.30

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Solution

The fourth proportional to 204,776.82, 306,954.54 and 78,387.30 is: 117,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,776.82 : 306,954.54 = 78,387.30 : x
  2. Step 2: Convert to fraction form
    204,776.82/306,954.54 = 78,387.30/x
  3. Step 3: Cross multiply
    204,776.82x = 306,954.54 × 78,387.30
  4. Step 4: Simplify right side
    204,776.82x = 24,061,337,613.34
  5. Step 5: Solve for x
    x = 24,061,337,613.34/204,776.82
  6. Step 6: Final answer
    x = 117,500.30

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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.