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Finding the Fourth Proportional to 258,766, 388,149 and 71,777.50

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Solution

The fourth proportional to 258,766, 388,149 and 71,777.50 is: 107,666.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,766 : 388,149 = 71,777.50 : x
  2. Step 2: Convert to fraction form
    258,766/388,149 = 71,777.50/x
  3. Step 3: Cross multiply
    258,766x = 388,149 × 71,777.50
  4. Step 4: Simplify right side
    258,766x = 27,860,364,847.50
  5. Step 5: Solve for x
    x = 27,860,364,847.50/258,766
  6. Step 6: Final answer
    x = 107,666.25

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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.