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Finding the Fourth Proportional to 69,456, 104,201.64 and 20,208

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Solution

The fourth proportional to 69,456, 104,201.64 and 20,208 is: 30,317.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,456 : 104,201.64 = 20,208 : x
  2. Step 2: Convert to fraction form
    69,456/104,201.64 = 20,208/x
  3. Step 3: Cross multiply
    69,456x = 104,201.64 × 20,208
  4. Step 4: Simplify right side
    69,456x = 2,105,706,741.12
  5. Step 5: Solve for x
    x = 2,105,706,741.12/69,456
  6. Step 6: Final answer
    x = 30,317.13

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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.