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Finding the Fourth Proportional to 146,472.27, 202,131.81 and 82,809.51

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Solution

The fourth proportional to 146,472.27, 202,131.81 and 82,809.51 is: 114,277.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,472.27 : 202,131.81 = 82,809.51 : x
  2. Step 2: Convert to fraction form
    146,472.27/202,131.81 = 82,809.51/x
  3. Step 3: Cross multiply
    146,472.27x = 202,131.81 × 82,809.51
  4. Step 4: Simplify right side
    146,472.27x = 16,738,436,141.51
  5. Step 5: Solve for x
    x = 16,738,436,141.51/146,472.27
  6. Step 6: Final answer
    x = 114,277.17

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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.