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Finding the Fourth Proportional to 111,295.85, 166,943.78 and 81,771.35

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Solution

The fourth proportional to 111,295.85, 166,943.78 and 81,771.35 is: 122,657.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295.85 : 166,943.78 = 81,771.35 : x
  2. Step 2: Convert to fraction form
    111,295.85/166,943.78 = 81,771.35/x
  3. Step 3: Cross multiply
    111,295.85x = 166,943.78 × 81,771.35
  4. Step 4: Simplify right side
    111,295.85x = 13,651,217,855.85
  5. Step 5: Solve for x
    x = 13,651,217,855.85/111,295.85
  6. Step 6: Final answer
    x = 122,657.03

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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.