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Finding the Fourth Proportional to 259,497.52, 389,107.80 and 133,086.46

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Solution

The fourth proportional to 259,497.52, 389,107.80 and 133,086.46 is: 199,558.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,497.52 : 389,107.80 = 133,086.46 : x
  2. Step 2: Convert to fraction form
    259,497.52/389,107.80 = 133,086.46/x
  3. Step 3: Cross multiply
    259,497.52x = 389,107.80 × 133,086.46
  4. Step 4: Simplify right side
    259,497.52x = 51,784,979,660.39
  5. Step 5: Solve for x
    x = 51,784,979,660.39/259,497.52
  6. Step 6: Final answer
    x = 199,558.67

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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.