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Finding the Fourth Proportional to 207,728.40, 311,592.60 and 74,629.20

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Solution

The fourth proportional to 207,728.40, 311,592.60 and 74,629.20 is: 111,943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,728.40 : 311,592.60 = 74,629.20 : x
  2. Step 2: Convert to fraction form
    207,728.40/311,592.60 = 74,629.20/x
  3. Step 3: Cross multiply
    207,728.40x = 311,592.60 × 74,629.20
  4. Step 4: Simplify right side
    207,728.40x = 23,253,906,463.92
  5. Step 5: Solve for x
    x = 23,253,906,463.92/207,728.40
  6. Step 6: Final answer
    x = 111,943.80

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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.