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Finding the Fourth Proportional to 69,078, 103,617 and 22,330.88

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Solution

The fourth proportional to 69,078, 103,617 and 22,330.88 is: 33,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,078 : 103,617 = 22,330.88 : x
  2. Step 2: Convert to fraction form
    69,078/103,617 = 22,330.88/x
  3. Step 3: Cross multiply
    69,078x = 103,617 × 22,330.88
  4. Step 4: Simplify right side
    69,078x = 2,313,858,792.96
  5. Step 5: Solve for x
    x = 2,313,858,792.96/69,078
  6. Step 6: Final answer
    x = 33,496.32

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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.