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Finding the Fourth Proportional to 140,249.63, 193,558.49 and 83,661

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Solution

The fourth proportional to 140,249.63, 193,558.49 and 83,661 is: 115,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,249.63 : 193,558.49 = 83,661 : x
  2. Step 2: Convert to fraction form
    140,249.63/193,558.49 = 83,661/x
  3. Step 3: Cross multiply
    140,249.63x = 193,558.49 × 83,661
  4. Step 4: Simplify right side
    140,249.63x = 16,193,296,831.89
  5. Step 5: Solve for x
    x = 16,193,296,831.89/140,249.63
  6. Step 6: Final answer
    x = 115,460.53

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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.