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Finding the Fourth Proportional to 129,714, 194,571 and 31,218

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Solution

The fourth proportional to 129,714, 194,571 and 31,218 is: 46,827

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,714 : 194,571 = 31,218 : x
  2. Step 2: Convert to fraction form
    129,714/194,571 = 31,218/x
  3. Step 3: Cross multiply
    129,714x = 194,571 × 31,218
  4. Step 4: Simplify right side
    129,714x = 6,074,117,478
  5. Step 5: Solve for x
    x = 6,074,117,478/129,714
  6. Step 6: Final answer
    x = 46,827

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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.