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Finding the Fourth Proportional to 129,846.86, 194,652.72 and 50,939.90

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Solution

The fourth proportional to 129,846.86, 194,652.72 and 50,939.90 is: 76,363.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846.86 : 194,652.72 = 50,939.90 : x
  2. Step 2: Convert to fraction form
    129,846.86/194,652.72 = 50,939.90/x
  3. Step 3: Cross multiply
    129,846.86x = 194,652.72 × 50,939.90
  4. Step 4: Simplify right side
    129,846.86x = 9,915,590,091.53
  5. Step 5: Solve for x
    x = 9,915,590,091.53/129,846.86
  6. Step 6: Final answer
    x = 76,363.73

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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.