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Finding the Fourth Proportional to 91,728.56, 126,578.04 and 50,894

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Solution

The fourth proportional to 91,728.56, 126,578.04 and 50,894 is: 70,229.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,728.56 : 126,578.04 = 50,894 : x
  2. Step 2: Convert to fraction form
    91,728.56/126,578.04 = 50,894/x
  3. Step 3: Cross multiply
    91,728.56x = 126,578.04 × 50,894
  4. Step 4: Simplify right side
    91,728.56x = 6,442,062,767.76
  5. Step 5: Solve for x
    x = 6,442,062,767.76/91,728.56
  6. Step 6: Final answer
    x = 70,229.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.