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Finding the Fourth Proportional to 129,644.75, 194,467.13 and 31,148.75

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Solution

The fourth proportional to 129,644.75, 194,467.13 and 31,148.75 is: 46,723.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,644.75 : 194,467.13 = 31,148.75 : x
  2. Step 2: Convert to fraction form
    129,644.75/194,467.13 = 31,148.75/x
  3. Step 3: Cross multiply
    129,644.75x = 194,467.13 × 31,148.75
  4. Step 4: Simplify right side
    129,644.75x = 6,057,408,015.59
  5. Step 5: Solve for x
    x = 6,057,408,015.59/129,644.75
  6. Step 6: Final answer
    x = 46,723.13

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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.