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Finding the Fourth Proportional to 204,779.32, 306,958.29 and 78,389.80

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Solution

The fourth proportional to 204,779.32, 306,958.29 and 78,389.80 is: 117,504.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,779.32 : 306,958.29 = 78,389.80 : x
  2. Step 2: Convert to fraction form
    204,779.32/306,958.29 = 78,389.80/x
  3. Step 3: Cross multiply
    204,779.32x = 306,958.29 × 78,389.80
  4. Step 4: Simplify right side
    204,779.32x = 24,062,398,961.44
  5. Step 5: Solve for x
    x = 24,062,398,961.44/204,779.32
  6. Step 6: Final answer
    x = 117,504.05

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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.