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Finding the Fourth Proportional to 258,978.75, 388,644.30 and 92,766.75

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Solution

The fourth proportional to 258,978.75, 388,644.30 and 92,766.75 is: 139,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,978.75 : 388,644.30 = 92,766.75 : x
  2. Step 2: Convert to fraction form
    258,978.75/388,644.30 = 92,766.75/x
  3. Step 3: Cross multiply
    258,978.75x = 388,644.30 × 92,766.75
  4. Step 4: Simplify right side
    258,978.75x = 36,053,268,617.03
  5. Step 5: Solve for x
    x = 36,053,268,617.03/258,978.75
  6. Step 6: Final answer
    x = 139,213.23

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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.