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Finding the Fourth Proportional to 205,204.80, 283,068.84 and 120,305.52

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Solution

The fourth proportional to 205,204.80, 283,068.84 and 120,305.52 is: 165,954.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,204.80 : 283,068.84 = 120,305.52 : x
  2. Step 2: Convert to fraction form
    205,204.80/283,068.84 = 120,305.52/x
  3. Step 3: Cross multiply
    205,204.80x = 283,068.84 × 120,305.52
  4. Step 4: Simplify right side
    205,204.80x = 34,054,743,992.00
  5. Step 5: Solve for x
    x = 34,054,743,992.00/205,204.80
  6. Step 6: Final answer
    x = 165,954.91

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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.