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Finding the Fourth Proportional to 129,786, 194,700.06 and 50,857.44

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Solution

The fourth proportional to 129,786, 194,700.06 and 50,857.44 is: 76,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,786 : 194,700.06 = 50,857.44 : x
  2. Step 2: Convert to fraction form
    129,786/194,700.06 = 50,857.44/x
  3. Step 3: Cross multiply
    129,786x = 194,700.06 × 50,857.44
  4. Step 4: Simplify right side
    129,786x = 9,901,946,619.45
  5. Step 5: Solve for x
    x = 9,901,946,619.45/129,786
  6. Step 6: Final answer
    x = 76,294.41

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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.