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Finding the Fourth Proportional to 103,379.82, 154,971.24 and 33,209.88

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Solution

The fourth proportional to 103,379.82, 154,971.24 and 33,209.88 is: 49,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,379.82 : 154,971.24 = 33,209.88 : x
  2. Step 2: Convert to fraction form
    103,379.82/154,971.24 = 33,209.88/x
  3. Step 3: Cross multiply
    103,379.82x = 154,971.24 × 33,209.88
  4. Step 4: Simplify right side
    103,379.82x = 5,146,576,283.85
  5. Step 5: Solve for x
    x = 5,146,576,283.85/103,379.82
  6. Step 6: Final answer
    x = 49,783.18

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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.