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Finding the Fourth Proportional to 206,996.98, 310,495.47 and 66,755.60

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Solution

The fourth proportional to 206,996.98, 310,495.47 and 66,755.60 is: 100,133.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,996.98 : 310,495.47 = 66,755.60 : x
  2. Step 2: Convert to fraction form
    206,996.98/310,495.47 = 66,755.60/x
  3. Step 3: Cross multiply
    206,996.98x = 310,495.47 × 66,755.60
  4. Step 4: Simplify right side
    206,996.98x = 20,727,311,819.70
  5. Step 5: Solve for x
    x = 20,727,311,819.70/206,996.98
  6. Step 6: Final answer
    x = 100,133.40

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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.