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Finding the Fourth Proportional to 129,737.66, 194,614.69 and 54,843.84

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Solution

The fourth proportional to 129,737.66, 194,614.69 and 54,843.84 is: 82,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,737.66 : 194,614.69 = 54,843.84 : x
  2. Step 2: Convert to fraction form
    129,737.66/194,614.69 = 54,843.84/x
  3. Step 3: Cross multiply
    129,737.66x = 194,614.69 × 54,843.84
  4. Step 4: Simplify right side
    129,737.66x = 10,673,416,920.01
  5. Step 5: Solve for x
    x = 10,673,416,920.01/129,737.66
  6. Step 6: Final answer
    x = 82,269.23

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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.