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Finding the Fourth Proportional to 259,291, 388,936.50 and 84,187

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Solution

The fourth proportional to 259,291, 388,936.50 and 84,187 is: 126,280.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,291 : 388,936.50 = 84,187 : x
  2. Step 2: Convert to fraction form
    259,291/388,936.50 = 84,187/x
  3. Step 3: Cross multiply
    259,291x = 388,936.50 × 84,187
  4. Step 4: Simplify right side
    259,291x = 32,743,397,125.50
  5. Step 5: Solve for x
    x = 32,743,397,125.50/259,291
  6. Step 6: Final answer
    x = 126,280.50

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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.