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Finding the Fourth Proportional to 258,667.44, 388,059.54 and 78,768.96

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Solution

The fourth proportional to 258,667.44, 388,059.54 and 78,768.96 is: 118,171.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,667.44 : 388,059.54 = 78,768.96 : x
  2. Step 2: Convert to fraction form
    258,667.44/388,059.54 = 78,768.96/x
  3. Step 3: Cross multiply
    258,667.44x = 388,059.54 × 78,768.96
  4. Step 4: Simplify right side
    258,667.44x = 30,567,045,076.35
  5. Step 5: Solve for x
    x = 30,567,045,076.35/258,667.44
  6. Step 6: Final answer
    x = 118,171.21

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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.