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Finding the Fourth Proportional to 131,729.52, 197,594.78 and 31,889.54

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Solution

The fourth proportional to 131,729.52, 197,594.78 and 31,889.54 is: 47,834.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,729.52 : 197,594.78 = 31,889.54 : x
  2. Step 2: Convert to fraction form
    131,729.52/197,594.78 = 31,889.54/x
  3. Step 3: Cross multiply
    131,729.52x = 197,594.78 × 31,889.54
  4. Step 4: Simplify right side
    131,729.52x = 6,301,206,640.60
  5. Step 5: Solve for x
    x = 6,301,206,640.60/131,729.52
  6. Step 6: Final answer
    x = 47,834.43

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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.