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Finding the Fourth Proportional to 205,672.59, 283,830.35 and 120,791.07

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Solution

The fourth proportional to 205,672.59, 283,830.35 and 120,791.07 is: 166,692.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,672.59 : 283,830.35 = 120,791.07 : x
  2. Step 2: Convert to fraction form
    205,672.59/283,830.35 = 120,791.07/x
  3. Step 3: Cross multiply
    205,672.59x = 283,830.35 × 120,791.07
  4. Step 4: Simplify right side
    205,672.59x = 34,284,171,071.02
  5. Step 5: Solve for x
    x = 34,284,171,071.02/205,672.59
  6. Step 6: Final answer
    x = 166,692.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.