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Finding the Fourth Proportional to 69,782.74, 104,671.66 and 19,863.10

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Solution

The fourth proportional to 69,782.74, 104,671.66 and 19,863.10 is: 29,793.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,782.74 : 104,671.66 = 19,863.10 : x
  2. Step 2: Convert to fraction form
    69,782.74/104,671.66 = 19,863.10/x
  3. Step 3: Cross multiply
    69,782.74x = 104,671.66 × 19,863.10
  4. Step 4: Simplify right side
    69,782.74x = 2,079,103,649.75
  5. Step 5: Solve for x
    x = 2,079,103,649.75/69,782.74
  6. Step 6: Final answer
    x = 29,793.95

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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.