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Finding the Fourth Proportional to 129,753, 194,629.68 and 31,257

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Solution

The fourth proportional to 129,753, 194,629.68 and 31,257 is: 46,885.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,753 : 194,629.68 = 31,257 : x
  2. Step 2: Convert to fraction form
    129,753/194,629.68 = 31,257/x
  3. Step 3: Cross multiply
    129,753x = 194,629.68 × 31,257
  4. Step 4: Simplify right side
    129,753x = 6,083,539,907.76
  5. Step 5: Solve for x
    x = 6,083,539,907.76/129,753
  6. Step 6: Final answer
    x = 46,885.54

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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.