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Finding the Fourth Proportional to 74,505.28, 111,680.16 and 27,739.12

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Solution

The fourth proportional to 74,505.28, 111,680.16 and 27,739.12 is: 41,579.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,505.28 : 111,680.16 = 27,739.12 : x
  2. Step 2: Convert to fraction form
    74,505.28/111,680.16 = 27,739.12/x
  3. Step 3: Cross multiply
    74,505.28x = 111,680.16 × 27,739.12
  4. Step 4: Simplify right side
    74,505.28x = 3,097,909,359.86
  5. Step 5: Solve for x
    x = 3,097,909,359.86/74,505.28
  6. Step 6: Final answer
    x = 41,579.73

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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.