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Finding the Fourth Proportional to 69,365, 104,064.78 and 20,117

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Solution

The fourth proportional to 69,365, 104,064.78 and 20,117 is: 30,180.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,365 : 104,064.78 = 20,117 : x
  2. Step 2: Convert to fraction form
    69,365/104,064.78 = 20,117/x
  3. Step 3: Cross multiply
    69,365x = 104,064.78 × 20,117
  4. Step 4: Simplify right side
    69,365x = 2,093,471,179.26
  5. Step 5: Solve for x
    x = 2,093,471,179.26/69,365
  6. Step 6: Final answer
    x = 30,180.51

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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.