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Finding the Fourth Proportional to 206,828.80, 309,724.80 and 136,326.40

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Solution

The fourth proportional to 206,828.80, 309,724.80 and 136,326.40 is: 204,147.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.80 : 309,724.80 = 136,326.40 : x
  2. Step 2: Convert to fraction form
    206,828.80/309,724.80 = 136,326.40/x
  3. Step 3: Cross multiply
    206,828.80x = 309,724.80 × 136,326.40
  4. Step 4: Simplify right side
    206,828.80x = 42,223,666,974.72
  5. Step 5: Solve for x
    x = 42,223,666,974.72/206,828.80
  6. Step 6: Final answer
    x = 204,147.91

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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.