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Finding the Fourth Proportional to 206,254.34, 308,769.06 and 112,475.78

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Solution

The fourth proportional to 206,254.34, 308,769.06 and 112,475.78 is: 168,379.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,254.34 : 308,769.06 = 112,475.78 : x
  2. Step 2: Convert to fraction form
    206,254.34/308,769.06 = 112,475.78/x
  3. Step 3: Cross multiply
    206,254.34x = 308,769.06 × 112,475.78
  4. Step 4: Simplify right side
    206,254.34x = 34,729,040,863.37
  5. Step 5: Solve for x
    x = 34,729,040,863.37/206,254.34
  6. Step 6: Final answer
    x = 168,379.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.