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Finding the Fourth Proportional to 91,106.56, 125,728 and 50,824

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Solution

The fourth proportional to 91,106.56, 125,728 and 50,824 is: 70,137.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,106.56 : 125,728 = 50,824 : x
  2. Step 2: Convert to fraction form
    91,106.56/125,728 = 50,824/x
  3. Step 3: Cross multiply
    91,106.56x = 125,728 × 50,824
  4. Step 4: Simplify right side
    91,106.56x = 6,389,999,872
  5. Step 5: Solve for x
    x = 6,389,999,872/91,106.56
  6. Step 6: Final answer
    x = 70,137.65

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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.