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Finding the Fourth Proportional to 206,341.92, 309,512.80 and 136,204.80

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Solution

The fourth proportional to 206,341.92, 309,512.80 and 136,204.80 is: 204,307.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,341.92 : 309,512.80 = 136,204.80 : x
  2. Step 2: Convert to fraction form
    206,341.92/309,512.80 = 136,204.80/x
  3. Step 3: Cross multiply
    206,341.92x = 309,512.80 × 136,204.80
  4. Step 4: Simplify right side
    206,341.92x = 42,157,129,021.44
  5. Step 5: Solve for x
    x = 42,157,129,021.44/206,341.92
  6. Step 6: Final answer
    x = 204,307.15

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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.