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Finding the Fourth Proportional to 129,680, 194,473.21 and 54,805.94

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Solution

The fourth proportional to 129,680, 194,473.21 and 54,805.94 is: 82,189.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,680 : 194,473.21 = 54,805.94 : x
  2. Step 2: Convert to fraction form
    129,680/194,473.21 = 54,805.94/x
  3. Step 3: Cross multiply
    129,680x = 194,473.21 × 54,805.94
  4. Step 4: Simplify right side
    129,680x = 10,658,287,078.87
  5. Step 5: Solve for x
    x = 10,658,287,078.87/129,680
  6. Step 6: Final answer
    x = 82,189.14

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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.