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Finding the Fourth Proportional to 76,505.20, 114,757.20 and 45,318

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Solution

The fourth proportional to 76,505.20, 114,757.20 and 45,318 is: 67,976.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,505.20 : 114,757.20 = 45,318 : x
  2. Step 2: Convert to fraction form
    76,505.20/114,757.20 = 45,318/x
  3. Step 3: Cross multiply
    76,505.20x = 114,757.20 × 45,318
  4. Step 4: Simplify right side
    76,505.20x = 5,200,566,789.60
  5. Step 5: Solve for x
    x = 5,200,566,789.60/76,505.20
  6. Step 6: Final answer
    x = 67,976.64

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