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Finding the Fourth Proportional to 274,107.24, 378,384.57 and 166,711.77

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Solution

The fourth proportional to 274,107.24, 378,384.57 and 166,711.77 is: 230,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,107.24 : 378,384.57 = 166,711.77 : x
  2. Step 2: Convert to fraction form
    274,107.24/378,384.57 = 166,711.77/x
  3. Step 3: Cross multiply
    274,107.24x = 378,384.57 × 166,711.77
  4. Step 4: Simplify right side
    274,107.24x = 63,081,161,405.39
  5. Step 5: Solve for x
    x = 63,081,161,405.39/274,107.24
  6. Step 6: Final answer
    x = 230,133.15

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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.