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Finding the Fourth Proportional to 204,540.63, 306,938.72 and 78,191.57

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Solution

The fourth proportional to 204,540.63, 306,938.72 and 78,191.57 is: 117,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,540.63 : 306,938.72 = 78,191.57 : x
  2. Step 2: Convert to fraction form
    204,540.63/306,938.72 = 78,191.57/x
  3. Step 3: Cross multiply
    204,540.63x = 306,938.72 × 78,191.57
  4. Step 4: Simplify right side
    204,540.63x = 24,000,019,071.38
  5. Step 5: Solve for x
    x = 24,000,019,071.38/204,540.63
  6. Step 6: Final answer
    x = 117,336.19

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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.