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Finding the Fourth Proportional to 165,142.80, 227,893.32 and 89,689.68

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Solution

The fourth proportional to 165,142.80, 227,893.32 and 89,689.68 is: 123,769.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,142.80 : 227,893.32 = 89,689.68 : x
  2. Step 2: Convert to fraction form
    165,142.80/227,893.32 = 89,689.68/x
  3. Step 3: Cross multiply
    165,142.80x = 227,893.32 × 89,689.68
  4. Step 4: Simplify right side
    165,142.80x = 20,439,678,944.94
  5. Step 5: Solve for x
    x = 20,439,678,944.94/165,142.80
  6. Step 6: Final answer
    x = 123,769.73

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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.