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Finding the Fourth Proportional to 69,981.98, 104,813.19 and 54,954.86

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Solution

The fourth proportional to 69,981.98, 104,813.19 and 54,954.86 is: 82,306.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,981.98 : 104,813.19 = 54,954.86 : x
  2. Step 2: Convert to fraction form
    69,981.98/104,813.19 = 54,954.86/x
  3. Step 3: Cross multiply
    69,981.98x = 104,813.19 × 54,954.86
  4. Step 4: Simplify right side
    69,981.98x = 5,759,993,658.54
  5. Step 5: Solve for x
    x = 5,759,993,658.54/69,981.98
  6. Step 6: Final answer
    x = 82,306.82

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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.