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Finding the Fourth Proportional to 111,205.10, 166,807.65 and 81,680.60

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Solution

The fourth proportional to 111,205.10, 166,807.65 and 81,680.60 is: 122,520.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,205.10 : 166,807.65 = 81,680.60 : x
  2. Step 2: Convert to fraction form
    111,205.10/166,807.65 = 81,680.60/x
  3. Step 3: Cross multiply
    111,205.10x = 166,807.65 × 81,680.60
  4. Step 4: Simplify right side
    111,205.10x = 13,624,948,936.59
  5. Step 5: Solve for x
    x = 13,624,948,936.59/111,205.10
  6. Step 6: Final answer
    x = 122,520.90

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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.