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Finding the Fourth Proportional to 111,105.12, 166,612.80 and 40,968.80

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Solution

The fourth proportional to 111,105.12, 166,612.80 and 40,968.80 is: 61,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,105.12 : 166,612.80 = 40,968.80 : x
  2. Step 2: Convert to fraction form
    111,105.12/166,612.80 = 40,968.80/x
  3. Step 3: Cross multiply
    111,105.12x = 166,612.80 × 40,968.80
  4. Step 4: Simplify right side
    111,105.12x = 6,825,926,480.64
  5. Step 5: Solve for x
    x = 6,825,926,480.64/111,105.12
  6. Step 6: Final answer
    x = 61,436.65

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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.