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Finding the Fourth Proportional to 258,874.50, 388,328.44 and 81,388.38

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Solution

The fourth proportional to 258,874.50, 388,328.44 and 81,388.38 is: 122,087.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,874.50 : 388,328.44 = 81,388.38 : x
  2. Step 2: Convert to fraction form
    258,874.50/388,328.44 = 81,388.38/x
  3. Step 3: Cross multiply
    258,874.50x = 388,328.44 × 81,388.38
  4. Step 4: Simplify right side
    258,874.50x = 31,605,422,639.53
  5. Step 5: Solve for x
    x = 31,605,422,639.53/258,874.50
  6. Step 6: Final answer
    x = 122,087.82

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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.