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Finding the Fourth Proportional to 230,806.73, 318,131.97 and 154,297.87

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Solution

The fourth proportional to 230,806.73, 318,131.97 and 154,297.87 is: 212,676.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,806.73 : 318,131.97 = 154,297.87 : x
  2. Step 2: Convert to fraction form
    230,806.73/318,131.97 = 154,297.87/x
  3. Step 3: Cross multiply
    230,806.73x = 318,131.97 × 154,297.87
  4. Step 4: Simplify right side
    230,806.73x = 49,087,084,554.57
  5. Step 5: Solve for x
    x = 49,087,084,554.57/230,806.73
  6. Step 6: Final answer
    x = 212,676.15

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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.