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Finding the Fourth Proportional to 268,843.25, 370,960.26 and 154,100.77

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Solution

The fourth proportional to 268,843.25, 370,960.26 and 154,100.77 is: 212,634.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,843.25 : 370,960.26 = 154,100.77 : x
  2. Step 2: Convert to fraction form
    268,843.25/370,960.26 = 154,100.77/x
  3. Step 3: Cross multiply
    268,843.25x = 370,960.26 × 154,100.77
  4. Step 4: Simplify right side
    268,843.25x = 57,165,259,850.60
  5. Step 5: Solve for x
    x = 57,165,259,850.60/268,843.25
  6. Step 6: Final answer
    x = 212,634.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.