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Finding the Fourth Proportional to 165,149.56, 227,905.14 and 89,698.60

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Solution

The fourth proportional to 165,149.56, 227,905.14 and 89,698.60 is: 123,783.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,149.56 : 227,905.14 = 89,698.60 : x
  2. Step 2: Convert to fraction form
    165,149.56/227,905.14 = 89,698.60/x
  3. Step 3: Cross multiply
    165,149.56x = 227,905.14 × 89,698.60
  4. Step 4: Simplify right side
    165,149.56x = 20,442,771,990.80
  5. Step 5: Solve for x
    x = 20,442,771,990.80/165,149.56
  6. Step 6: Final answer
    x = 123,783.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.