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Finding the Fourth Proportional to 69,991.07, 104,965.07 and 20,057.78

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Solution

The fourth proportional to 69,991.07, 104,965.07 and 20,057.78 is: 30,080.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,991.07 : 104,965.07 = 20,057.78 : x
  2. Step 2: Convert to fraction form
    69,991.07/104,965.07 = 20,057.78/x
  3. Step 3: Cross multiply
    69,991.07x = 104,965.07 × 20,057.78
  4. Step 4: Simplify right side
    69,991.07x = 2,105,365,656.63
  5. Step 5: Solve for x
    x = 2,105,365,656.63/69,991.07
  6. Step 6: Final answer
    x = 30,080.49

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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.