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Finding the Fourth Proportional to 207,657.06, 311,266.89 and 107,711.16

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Solution

The fourth proportional to 207,657.06, 311,266.89 and 107,711.16 is: 161,453.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,657.06 : 311,266.89 = 107,711.16 : x
  2. Step 2: Convert to fraction form
    207,657.06/311,266.89 = 107,711.16/x
  3. Step 3: Cross multiply
    207,657.06x = 311,266.89 × 107,711.16
  4. Step 4: Simplify right side
    207,657.06x = 33,526,917,791.49
  5. Step 5: Solve for x
    x = 33,526,917,791.49/207,657.06
  6. Step 6: Final answer
    x = 161,453.30

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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.