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Finding the Fourth Proportional to 129,838.86, 194,738.76 and 41,080.83

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Solution

The fourth proportional to 129,838.86, 194,738.76 and 41,080.83 is: 61,615.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,838.86 : 194,738.76 = 41,080.83 : x
  2. Step 2: Convert to fraction form
    129,838.86/194,738.76 = 41,080.83/x
  3. Step 3: Cross multiply
    129,838.86x = 194,738.76 × 41,080.83
  4. Step 4: Simplify right side
    129,838.86x = 8,000,029,893.97
  5. Step 5: Solve for x
    x = 8,000,029,893.97/129,838.86
  6. Step 6: Final answer
    x = 61,615.07

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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.