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Finding the Fourth Proportional to 69,977.68, 104,943.78 and 23,218

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Solution

The fourth proportional to 69,977.68, 104,943.78 and 23,218 is: 34,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.68 : 104,943.78 = 23,218 : x
  2. Step 2: Convert to fraction form
    69,977.68/104,943.78 = 23,218/x
  3. Step 3: Cross multiply
    69,977.68x = 104,943.78 × 23,218
  4. Step 4: Simplify right side
    69,977.68x = 2,436,584,684.04
  5. Step 5: Solve for x
    x = 2,436,584,684.04/69,977.68
  6. Step 6: Final answer
    x = 34,819.46

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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.