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Finding the Fourth Proportional to 128,764.37, 193,144.62 and 31,391.37

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Solution

The fourth proportional to 128,764.37, 193,144.62 and 31,391.37 is: 47,086.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,764.37 : 193,144.62 = 31,391.37 : x
  2. Step 2: Convert to fraction form
    128,764.37/193,144.62 = 31,391.37/x
  3. Step 3: Cross multiply
    128,764.37x = 193,144.62 × 31,391.37
  4. Step 4: Simplify right side
    128,764.37x = 6,063,074,229.93
  5. Step 5: Solve for x
    x = 6,063,074,229.93/128,764.37
  6. Step 6: Final answer
    x = 47,086.59

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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.