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Finding the Fourth Proportional to 69,433, 104,154.36 and 27,880

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Solution

The fourth proportional to 69,433, 104,154.36 and 27,880 is: 41,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,433 : 104,154.36 = 27,880 : x
  2. Step 2: Convert to fraction form
    69,433/104,154.36 = 27,880/x
  3. Step 3: Cross multiply
    69,433x = 104,154.36 × 27,880
  4. Step 4: Simplify right side
    69,433x = 2,903,823,556.80
  5. Step 5: Solve for x
    x = 2,903,823,556.80/69,433
  6. Step 6: Final answer
    x = 41,821.95

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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.