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Finding the Fourth Proportional to 111,855.96, 167,470 and 83,906.08

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Solution

The fourth proportional to 111,855.96, 167,470 and 83,906.08 is: 125,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,855.96 : 167,470 = 83,906.08 : x
  2. Step 2: Convert to fraction form
    111,855.96/167,470 = 83,906.08/x
  3. Step 3: Cross multiply
    111,855.96x = 167,470 × 83,906.08
  4. Step 4: Simplify right side
    111,855.96x = 14,051,751,217.60
  5. Step 5: Solve for x
    x = 14,051,751,217.60/111,855.96
  6. Step 6: Final answer
    x = 125,623.63

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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.