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Finding the Fourth Proportional to 206,076.60, 308,586.06 and 142,806.60

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Solution

The fourth proportional to 206,076.60, 308,586.06 and 142,806.60 is: 213,843.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,076.60 : 308,586.06 = 142,806.60 : x
  2. Step 2: Convert to fraction form
    206,076.60/308,586.06 = 142,806.60/x
  3. Step 3: Cross multiply
    206,076.60x = 308,586.06 × 142,806.60
  4. Step 4: Simplify right side
    206,076.60x = 44,068,126,036.00
  5. Step 5: Solve for x
    x = 44,068,126,036.00/206,076.60
  6. Step 6: Final answer
    x = 213,843.43

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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.