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Finding the Fourth Proportional to 102,107.40, 152,942.40 and 84,611.40

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Solution

The fourth proportional to 102,107.40, 152,942.40 and 84,611.40 is: 126,735.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.40 : 152,942.40 = 84,611.40 : x
  2. Step 2: Convert to fraction form
    102,107.40/152,942.40 = 84,611.40/x
  3. Step 3: Cross multiply
    102,107.40x = 152,942.40 × 84,611.40
  4. Step 4: Simplify right side
    102,107.40x = 12,940,670,583.36
  5. Step 5: Solve for x
    x = 12,940,670,583.36/102,107.40
  6. Step 6: Final answer
    x = 126,735.87

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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.