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Finding the Fourth Proportional to 206,492.89, 309,852.15 and 80,138.11

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Solution

The fourth proportional to 206,492.89, 309,852.15 and 80,138.11 is: 120,250.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,492.89 : 309,852.15 = 80,138.11 : x
  2. Step 2: Convert to fraction form
    206,492.89/309,852.15 = 80,138.11/x
  3. Step 3: Cross multiply
    206,492.89x = 309,852.15 × 80,138.11
  4. Step 4: Simplify right side
    206,492.89x = 24,830,965,680.44
  5. Step 5: Solve for x
    x = 24,830,965,680.44/206,492.89
  6. Step 6: Final answer
    x = 120,250.95

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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.