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Finding the Fourth Proportional to 103,474.08, 155,212.20 and 82,828.80

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Solution

The fourth proportional to 103,474.08, 155,212.20 and 82,828.80 is: 124,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,474.08 : 155,212.20 = 82,828.80 : x
  2. Step 2: Convert to fraction form
    103,474.08/155,212.20 = 82,828.80/x
  3. Step 3: Cross multiply
    103,474.08x = 155,212.20 × 82,828.80
  4. Step 4: Simplify right side
    103,474.08x = 12,856,040,271.36
  5. Step 5: Solve for x
    x = 12,856,040,271.36/103,474.08
  6. Step 6: Final answer
    x = 124,244.06

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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.