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Finding the Fourth Proportional to 135,969.30, 203,928.44 and 57,084.21

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Solution

The fourth proportional to 135,969.30, 203,928.44 and 57,084.21 is: 85,615.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969.30 : 203,928.44 = 57,084.21 : x
  2. Step 2: Convert to fraction form
    135,969.30/203,928.44 = 57,084.21/x
  3. Step 3: Cross multiply
    135,969.30x = 203,928.44 × 57,084.21
  4. Step 4: Simplify right side
    135,969.30x = 11,641,093,608.51
  5. Step 5: Solve for x
    x = 11,641,093,608.51/135,969.30
  6. Step 6: Final answer
    x = 85,615.60

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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.