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Finding the Fourth Proportional to 57,405.20, 85,954.20 and 36,515.60

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Solution

The fourth proportional to 57,405.20, 85,954.20 and 36,515.60 is: 54,675.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,405.20 : 85,954.20 = 36,515.60 : x
  2. Step 2: Convert to fraction form
    57,405.20/85,954.20 = 36,515.60/x
  3. Step 3: Cross multiply
    57,405.20x = 85,954.20 × 36,515.60
  4. Step 4: Simplify right side
    57,405.20x = 3,138,669,185.52
  5. Step 5: Solve for x
    x = 3,138,669,185.52/57,405.20
  6. Step 6: Final answer
    x = 54,675.69

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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.