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Finding the Fourth Proportional to 69,401, 104,104.38 and 20,153

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Solution

The fourth proportional to 69,401, 104,104.38 and 20,153 is: 30,230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,401 : 104,104.38 = 20,153 : x
  2. Step 2: Convert to fraction form
    69,401/104,104.38 = 20,153/x
  3. Step 3: Cross multiply
    69,401x = 104,104.38 × 20,153
  4. Step 4: Simplify right side
    69,401x = 2,098,015,570.14
  5. Step 5: Solve for x
    x = 2,098,015,570.14/69,401
  6. Step 6: Final answer
    x = 30,230.34

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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.