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Finding the Fourth Proportional to 206,554.32, 309,049.56 and 122,359.68

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Solution

The fourth proportional to 206,554.32, 309,049.56 and 122,359.68 is: 183,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,554.32 : 309,049.56 = 122,359.68 : x
  2. Step 2: Convert to fraction form
    206,554.32/309,049.56 = 122,359.68/x
  3. Step 3: Cross multiply
    206,554.32x = 309,049.56 × 122,359.68
  4. Step 4: Simplify right side
    206,554.32x = 37,815,205,265.74
  5. Step 5: Solve for x
    x = 37,815,205,265.74/206,554.32
  6. Step 6: Final answer
    x = 183,076.32

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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.