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Finding the Fourth Proportional to 206,324.34, 309,486.51 and 136,187.25

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Solution

The fourth proportional to 206,324.34, 309,486.51 and 136,187.25 is: 204,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,324.34 : 309,486.51 = 136,187.25 : x
  2. Step 2: Convert to fraction form
    206,324.34/309,486.51 = 136,187.25/x
  3. Step 3: Cross multiply
    206,324.34x = 309,486.51 × 136,187.25
  4. Step 4: Simplify right side
    206,324.34x = 42,148,116,709.00
  5. Step 5: Solve for x
    x = 42,148,116,709.00/206,324.34
  6. Step 6: Final answer
    x = 204,280.88

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1.5x scale

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.