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Finding the Fourth Proportional to 128,952.57, 193,366.64 and 54,052.60

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Solution

The fourth proportional to 128,952.57, 193,366.64 and 54,052.60 is: 81,052.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,952.57 : 193,366.64 = 54,052.60 : x
  2. Step 2: Convert to fraction form
    128,952.57/193,366.64 = 54,052.60/x
  3. Step 3: Cross multiply
    128,952.57x = 193,366.64 × 54,052.60
  4. Step 4: Simplify right side
    128,952.57x = 10,451,969,912.86
  5. Step 5: Solve for x
    x = 10,451,969,912.86/128,952.57
  6. Step 6: Final answer
    x = 81,052.82

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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.