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Finding the Fourth Proportional to 111,403.10, 167,104.65 and 81,878.60

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Solution

The fourth proportional to 111,403.10, 167,104.65 and 81,878.60 is: 122,817.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,403.10 : 167,104.65 = 81,878.60 : x
  2. Step 2: Convert to fraction form
    111,403.10/167,104.65 = 81,878.60/x
  3. Step 3: Cross multiply
    111,403.10x = 167,104.65 × 81,878.60
  4. Step 4: Simplify right side
    111,403.10x = 13,682,294,795.49
  5. Step 5: Solve for x
    x = 13,682,294,795.49/111,403.10
  6. Step 6: Final answer
    x = 122,817.90

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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.