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Finding the Fourth Proportional to 129,805.73, 194,722.26 and 53,895.65

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Solution

The fourth proportional to 129,805.73, 194,722.26 and 53,895.65 is: 80,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,805.73 : 194,722.26 = 53,895.65 : x
  2. Step 2: Convert to fraction form
    129,805.73/194,722.26 = 53,895.65/x
  3. Step 3: Cross multiply
    129,805.73x = 194,722.26 × 53,895.65
  4. Step 4: Simplify right side
    129,805.73x = 10,494,681,798.56
  5. Step 5: Solve for x
    x = 10,494,681,798.56/129,805.73
  6. Step 6: Final answer
    x = 80,849.14

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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.