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Finding the Fourth Proportional to 206,996.64, 310,494.95 and 66,755.26

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Solution

The fourth proportional to 206,996.64, 310,494.95 and 66,755.26 is: 100,132.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996.64 : 310,494.95 = 66,755.26 : x
  2. Step 2: Convert to fraction form
    206,996.64/310,494.95 = 66,755.26/x
  3. Step 3: Cross multiply
    206,996.64x = 310,494.95 × 66,755.26
  4. Step 4: Simplify right side
    206,996.64x = 20,727,171,115.94
  5. Step 5: Solve for x
    x = 20,727,171,115.94/206,996.64
  6. Step 6: Final answer
    x = 100,132.89

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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.