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Finding the Fourth Proportional to 204,009.30, 306,123.30 and 85,692.60

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Solution

The fourth proportional to 204,009.30, 306,123.30 and 85,692.60 is: 128,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,009.30 : 306,123.30 = 85,692.60 : x
  2. Step 2: Convert to fraction form
    204,009.30/306,123.30 = 85,692.60/x
  3. Step 3: Cross multiply
    204,009.30x = 306,123.30 × 85,692.60
  4. Step 4: Simplify right side
    204,009.30x = 26,232,501,497.58
  5. Step 5: Solve for x
    x = 26,232,501,497.58/204,009.30
  6. Step 6: Final answer
    x = 128,584.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.