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Finding the Fourth Proportional to 253,620.54, 349,982.37 and 140,436

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Solution

The fourth proportional to 253,620.54, 349,982.37 and 140,436 is: 193,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,620.54 : 349,982.37 = 140,436 : x
  2. Step 2: Convert to fraction form
    253,620.54/349,982.37 = 140,436/x
  3. Step 3: Cross multiply
    253,620.54x = 349,982.37 × 140,436
  4. Step 4: Simplify right side
    253,620.54x = 49,150,124,113.32
  5. Step 5: Solve for x
    x = 49,150,124,113.32/253,620.54
  6. Step 6: Final answer
    x = 193,793.94

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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.