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Finding the Fourth Proportional to 91,168, 125,812 and 51,424

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Solution

The fourth proportional to 91,168, 125,812 and 51,424 is: 70,965.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,168 : 125,812 = 51,424 : x
  2. Step 2: Convert to fraction form
    91,168/125,812 = 51,424/x
  3. Step 3: Cross multiply
    91,168x = 125,812 × 51,424
  4. Step 4: Simplify right side
    91,168x = 6,469,756,288
  5. Step 5: Solve for x
    x = 6,469,756,288/91,168
  6. Step 6: Final answer
    x = 70,965.21

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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.