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Finding the Fourth Proportional to 66,787.22, 100,021.82 and 38,647.96

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Solution

The fourth proportional to 66,787.22, 100,021.82 and 38,647.96 is: 57,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,787.22 : 100,021.82 = 38,647.96 : x
  2. Step 2: Convert to fraction form
    66,787.22/100,021.82 = 38,647.96/x
  3. Step 3: Cross multiply
    66,787.22x = 100,021.82 × 38,647.96
  4. Step 4: Simplify right side
    66,787.22x = 3,865,639,145.05
  5. Step 5: Solve for x
    x = 3,865,639,145.05/66,787.22
  6. Step 6: Final answer
    x = 57,879.92

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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.