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Finding the Fourth Proportional to 85,378.56, 128,033.28 and 36,096

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Solution

The fourth proportional to 85,378.56, 128,033.28 and 36,096 is: 54,129.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,378.56 : 128,033.28 = 36,096 : x
  2. Step 2: Convert to fraction form
    85,378.56/128,033.28 = 36,096/x
  3. Step 3: Cross multiply
    85,378.56x = 128,033.28 × 36,096
  4. Step 4: Simplify right side
    85,378.56x = 4,621,489,274.88
  5. Step 5: Solve for x
    x = 4,621,489,274.88/85,378.56
  6. Step 6: Final answer
    x = 54,129.39

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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.