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Finding the Fourth Proportional to 69,684.84, 104,542.11 and 19,780.20

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Solution

The fourth proportional to 69,684.84, 104,542.11 and 19,780.20 is: 29,674.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,684.84 : 104,542.11 = 19,780.20 : x
  2. Step 2: Convert to fraction form
    69,684.84/104,542.11 = 19,780.20/x
  3. Step 3: Cross multiply
    69,684.84x = 104,542.11 × 19,780.20
  4. Step 4: Simplify right side
    69,684.84x = 2,067,863,844.22
  5. Step 5: Solve for x
    x = 2,067,863,844.22/69,684.84
  6. Step 6: Final answer
    x = 29,674.52

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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.