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Finding the Fourth Proportional to 165,704.40, 227,078.64 and 149,760.72

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Solution

The fourth proportional to 165,704.40, 227,078.64 and 149,760.72 is: 205,229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,704.40 : 227,078.64 = 149,760.72 : x
  2. Step 2: Convert to fraction form
    165,704.40/227,078.64 = 149,760.72/x
  3. Step 3: Cross multiply
    165,704.40x = 227,078.64 × 149,760.72
  4. Step 4: Simplify right side
    165,704.40x = 34,007,460,623.02
  5. Step 5: Solve for x
    x = 34,007,460,623.02/165,704.40
  6. Step 6: Final answer
    x = 205,229.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.