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Finding the Fourth Proportional to 207,840.40, 311,906.40 and 133,142.20

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Solution

The fourth proportional to 207,840.40, 311,906.40 and 133,142.20 is: 199,806.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840.40 : 311,906.40 = 133,142.20 : x
  2. Step 2: Convert to fraction form
    207,840.40/311,906.40 = 133,142.20/x
  3. Step 3: Cross multiply
    207,840.40x = 311,906.40 × 133,142.20
  4. Step 4: Simplify right side
    207,840.40x = 41,527,904,290.08
  5. Step 5: Solve for x
    x = 41,527,904,290.08/207,840.40
  6. Step 6: Final answer
    x = 199,806.70

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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.