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Finding the Fourth Proportional to 198,378.81, 273,696.17 and 112,326.03

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Solution

The fourth proportional to 198,378.81, 273,696.17 and 112,326.03 is: 154,972.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,378.81 : 273,696.17 = 112,326.03 : x
  2. Step 2: Convert to fraction form
    198,378.81/273,696.17 = 112,326.03/x
  3. Step 3: Cross multiply
    198,378.81x = 273,696.17 × 112,326.03
  4. Step 4: Simplify right side
    198,378.81x = 30,743,203,640.67
  5. Step 5: Solve for x
    x = 30,743,203,640.67/198,378.81
  6. Step 6: Final answer
    x = 154,972.22

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Why These Related Problems?

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