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Finding the Fourth Proportional to 253,823.78, 350,232.41 and 144,878.37

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Solution

The fourth proportional to 253,823.78, 350,232.41 and 144,878.37 is: 199,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,823.78 : 350,232.41 = 144,878.37 : x
  2. Step 2: Convert to fraction form
    253,823.78/350,232.41 = 144,878.37/x
  3. Step 3: Cross multiply
    253,823.78x = 350,232.41 × 144,878.37
  4. Step 4: Simplify right side
    253,823.78x = 50,741,099,957.58
  5. Step 5: Solve for x
    x = 50,741,099,957.58/253,823.78
  6. Step 6: Final answer
    x = 199,906.81

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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.