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Finding the Fourth Proportional to 111,382.60, 166,782.30 and 81,639.40

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Solution

The fourth proportional to 111,382.60, 166,782.30 and 81,639.40 is: 122,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,382.60 : 166,782.30 = 81,639.40 : x
  2. Step 2: Convert to fraction form
    111,382.60/166,782.30 = 81,639.40/x
  3. Step 3: Cross multiply
    111,382.60x = 166,782.30 × 81,639.40
  4. Step 4: Simplify right side
    111,382.60x = 13,616,006,902.62
  5. Step 5: Solve for x
    x = 13,616,006,902.62/111,382.60
  6. Step 6: Final answer
    x = 122,245.37

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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.