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Finding the Fourth Proportional to 82,006.92, 122,914.80 and 37,638.36

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Solution

The fourth proportional to 82,006.92, 122,914.80 and 37,638.36 is: 56,413.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,006.92 : 122,914.80 = 37,638.36 : x
  2. Step 2: Convert to fraction form
    82,006.92/122,914.80 = 37,638.36/x
  3. Step 3: Cross multiply
    82,006.92x = 122,914.80 × 37,638.36
  4. Step 4: Simplify right side
    82,006.92x = 4,626,311,491.73
  5. Step 5: Solve for x
    x = 4,626,311,491.73/82,006.92
  6. Step 6: Final answer
    x = 56,413.67

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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.