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Finding the Fourth Proportional to 69,790.82, 104,684.88 and 19,871.24

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Solution

The fourth proportional to 69,790.82, 104,684.88 and 19,871.24 is: 29,806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,790.82 : 104,684.88 = 19,871.24 : x
  2. Step 2: Convert to fraction form
    69,790.82/104,684.88 = 19,871.24/x
  3. Step 3: Cross multiply
    69,790.82x = 104,684.88 × 19,871.24
  4. Step 4: Simplify right side
    69,790.82x = 2,080,218,374.85
  5. Step 5: Solve for x
    x = 2,080,218,374.85/69,790.82
  6. Step 6: Final answer
    x = 29,806.48

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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.