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Finding the Fourth Proportional to 129,510.60, 194,265.90 and 54,715.20

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Solution

The fourth proportional to 129,510.60, 194,265.90 and 54,715.20 is: 82,072.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,510.60 : 194,265.90 = 54,715.20 : x
  2. Step 2: Convert to fraction form
    129,510.60/194,265.90 = 54,715.20/x
  3. Step 3: Cross multiply
    129,510.60x = 194,265.90 × 54,715.20
  4. Step 4: Simplify right side
    129,510.60x = 10,629,297,571.68
  5. Step 5: Solve for x
    x = 10,629,297,571.68/129,510.60
  6. Step 6: Final answer
    x = 82,072.80

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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.