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Finding the Fourth Proportional to 91,441, 126,205.86 and 51,697

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Solution

The fourth proportional to 91,441, 126,205.86 and 51,697 is: 71,351.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,441 : 126,205.86 = 51,697 : x
  2. Step 2: Convert to fraction form
    91,441/126,205.86 = 51,697/x
  3. Step 3: Cross multiply
    91,441x = 126,205.86 × 51,697
  4. Step 4: Simplify right side
    91,441x = 6,524,464,344.42
  5. Step 5: Solve for x
    x = 6,524,464,344.42/91,441
  6. Step 6: Final answer
    x = 71,351.63

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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.