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Finding the Fourth Proportional to 128,914, 193,446.27 and 54,027.94

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Solution

The fourth proportional to 128,914, 193,446.27 and 54,027.94 is: 81,073.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,914 : 193,446.27 = 54,027.94 : x
  2. Step 2: Convert to fraction form
    128,914/193,446.27 = 54,027.94/x
  3. Step 3: Cross multiply
    128,914x = 193,446.27 × 54,027.94
  4. Step 4: Simplify right side
    128,914x = 10,451,503,468.78
  5. Step 5: Solve for x
    x = 10,451,503,468.78/128,914
  6. Step 6: Final answer
    x = 81,073.46

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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.