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Finding the Fourth Proportional to 206,698.60, 310,100.70 and 66,458.60

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Solution

The fourth proportional to 206,698.60, 310,100.70 and 66,458.60 is: 99,704.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.60 : 310,100.70 = 66,458.60 : x
  2. Step 2: Convert to fraction form
    206,698.60/310,100.70 = 66,458.60/x
  3. Step 3: Cross multiply
    206,698.60x = 310,100.70 × 66,458.60
  4. Step 4: Simplify right side
    206,698.60x = 20,608,858,381.02
  5. Step 5: Solve for x
    x = 20,608,858,381.02/206,698.60
  6. Step 6: Final answer
    x = 99,704.88

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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.