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Finding the Fourth Proportional to 205,393.77, 283,391.60 and 120,494.43

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Solution

The fourth proportional to 205,393.77, 283,391.60 and 120,494.43 is: 166,251.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,393.77 : 283,391.60 = 120,494.43 : x
  2. Step 2: Convert to fraction form
    205,393.77/283,391.60 = 120,494.43/x
  3. Step 3: Cross multiply
    205,393.77x = 283,391.60 × 120,494.43
  4. Step 4: Simplify right side
    205,393.77x = 34,147,108,706.32
  5. Step 5: Solve for x
    x = 34,147,108,706.32/205,393.77
  6. Step 6: Final answer
    x = 166,251.92

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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.