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Finding the Fourth Proportional to 204,283.94, 306,357.87 and 85,933.22

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Solution

The fourth proportional to 204,283.94, 306,357.87 and 85,933.22 is: 128,871.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,283.94 : 306,357.87 = 85,933.22 : x
  2. Step 2: Convert to fraction form
    204,283.94/306,357.87 = 85,933.22/x
  3. Step 3: Cross multiply
    204,283.94x = 306,357.87 × 85,933.22
  4. Step 4: Simplify right side
    204,283.94x = 26,326,318,241.44
  5. Step 5: Solve for x
    x = 26,326,318,241.44/204,283.94
  6. Step 6: Final answer
    x = 128,871.21

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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.