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Finding the Fourth Proportional to 111,381.80, 167,072.70 and 100,106.60

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Solution

The fourth proportional to 111,381.80, 167,072.70 and 100,106.60 is: 150,159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,381.80 : 167,072.70 = 100,106.60 : x
  2. Step 2: Convert to fraction form
    111,381.80/167,072.70 = 100,106.60/x
  3. Step 3: Cross multiply
    111,381.80x = 167,072.70 × 100,106.60
  4. Step 4: Simplify right side
    111,381.80x = 16,725,079,949.82
  5. Step 5: Solve for x
    x = 16,725,079,949.82/111,381.80
  6. Step 6: Final answer
    x = 150,159.90

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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.