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Finding the Fourth Proportional to 129,857.80, 194,786.70 and 50,974.60

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Solution

The fourth proportional to 129,857.80, 194,786.70 and 50,974.60 is: 76,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,857.80 : 194,786.70 = 50,974.60 : x
  2. Step 2: Convert to fraction form
    129,857.80/194,786.70 = 50,974.60/x
  3. Step 3: Cross multiply
    129,857.80x = 194,786.70 × 50,974.60
  4. Step 4: Simplify right side
    129,857.80x = 9,929,174,117.82
  5. Step 5: Solve for x
    x = 9,929,174,117.82/129,857.80
  6. Step 6: Final answer
    x = 76,461.90

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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.