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Finding the Fourth Proportional to 129,951.73, 194,951.90 and 41,181.40

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Solution

The fourth proportional to 129,951.73, 194,951.90 and 41,181.40 is: 61,779.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,951.73 : 194,951.90 = 41,181.40 : x
  2. Step 2: Convert to fraction form
    129,951.73/194,951.90 = 41,181.40/x
  3. Step 3: Cross multiply
    129,951.73x = 194,951.90 × 41,181.40
  4. Step 4: Simplify right side
    129,951.73x = 8,028,392,174.66
  5. Step 5: Solve for x
    x = 8,028,392,174.66/129,951.73
  6. Step 6: Final answer
    x = 61,779.80

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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.