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Finding the Fourth Proportional to 202,048.09, 278,893.92 and 120,401.94

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Solution

The fourth proportional to 202,048.09, 278,893.92 and 120,401.94 is: 166,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,048.09 : 278,893.92 = 120,401.94 : x
  2. Step 2: Convert to fraction form
    202,048.09/278,893.92 = 120,401.94/x
  3. Step 3: Cross multiply
    202,048.09x = 278,893.92 × 120,401.94
  4. Step 4: Simplify right side
    202,048.09x = 33,579,370,519.56
  5. Step 5: Solve for x
    x = 33,579,370,519.56/202,048.09
  6. Step 6: Final answer
    x = 166,194.94

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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.