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Finding the Fourth Proportional to 128,771.52, 193,001.76 and 54,744

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Solution

The fourth proportional to 128,771.52, 193,001.76 and 54,744 is: 82,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,771.52 : 193,001.76 = 54,744 : x
  2. Step 2: Convert to fraction form
    128,771.52/193,001.76 = 54,744/x
  3. Step 3: Cross multiply
    128,771.52x = 193,001.76 × 54,744
  4. Step 4: Simplify right side
    128,771.52x = 10,565,688,349.44
  5. Step 5: Solve for x
    x = 10,565,688,349.44/128,771.52
  6. Step 6: Final answer
    x = 82,049.88

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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.