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Finding the Fourth Proportional to 206,997.13, 310,495.70 and 66,755.76

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Solution

The fourth proportional to 206,997.13, 310,495.70 and 66,755.76 is: 100,133.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,997.13 : 310,495.70 = 66,755.76 : x
  2. Step 2: Convert to fraction form
    206,997.13/310,495.70 = 66,755.76/x
  3. Step 3: Cross multiply
    206,997.13x = 310,495.70 × 66,755.76
  4. Step 4: Simplify right side
    206,997.13x = 20,727,376,430.23
  5. Step 5: Solve for x
    x = 20,727,376,430.23/206,997.13
  6. Step 6: Final answer
    x = 100,133.64

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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.