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Finding the Fourth Proportional to 69,821.64, 104,716.68 and 19,900.68

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Solution

The fourth proportional to 69,821.64, 104,716.68 and 19,900.68 is: 29,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,821.64 : 104,716.68 = 19,900.68 : x
  2. Step 2: Convert to fraction form
    69,821.64/104,716.68 = 19,900.68/x
  3. Step 3: Cross multiply
    69,821.64x = 104,716.68 × 19,900.68
  4. Step 4: Simplify right side
    69,821.64x = 2,083,933,139.34
  5. Step 5: Solve for x
    x = 2,083,933,139.34/69,821.64
  6. Step 6: Final answer
    x = 29,846.52

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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.