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Finding the Fourth Proportional to 258,671.21, 388,065.17 and 78,772.73

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Solution

The fourth proportional to 258,671.21, 388,065.17 and 78,772.73 is: 118,176.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,671.21 : 388,065.17 = 78,772.73 : x
  2. Step 2: Convert to fraction form
    258,671.21/388,065.17 = 78,772.73/x
  3. Step 3: Cross multiply
    258,671.21x = 388,065.17 × 78,772.73
  4. Step 4: Simplify right side
    258,671.21x = 30,568,951,115.42
  5. Step 5: Solve for x
    x = 30,568,951,115.42/258,671.21
  6. Step 6: Final answer
    x = 118,176.86

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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.