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Finding the Fourth Proportional to 128,662.40, 193,022.40 and 49,769.60

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Solution

The fourth proportional to 128,662.40, 193,022.40 and 49,769.60 is: 74,665.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,662.40 : 193,022.40 = 49,769.60 : x
  2. Step 2: Convert to fraction form
    128,662.40/193,022.40 = 49,769.60/x
  3. Step 3: Cross multiply
    128,662.40x = 193,022.40 × 49,769.60
  4. Step 4: Simplify right side
    128,662.40x = 9,606,647,639.04
  5. Step 5: Solve for x
    x = 9,606,647,639.04/128,662.40
  6. Step 6: Final answer
    x = 74,665.54

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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.