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Finding the Fourth Proportional to 128,993.28, 193,532.16 and 66,708.48

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Solution

The fourth proportional to 128,993.28, 193,532.16 and 66,708.48 is: 100,084.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,993.28 : 193,532.16 = 66,708.48 : x
  2. Step 2: Convert to fraction form
    128,993.28/193,532.16 = 66,708.48/x
  3. Step 3: Cross multiply
    128,993.28x = 193,532.16 × 66,708.48
  4. Step 4: Simplify right side
    128,993.28x = 12,910,236,224.72
  5. Step 5: Solve for x
    x = 12,910,236,224.72/128,993.28
  6. Step 6: Final answer
    x = 100,084.56

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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.