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Finding the Fourth Proportional to 111,402.10, 167,103.15 and 81,877.60

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Solution

The fourth proportional to 111,402.10, 167,103.15 and 81,877.60 is: 122,816.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,402.10 : 167,103.15 = 81,877.60 : x
  2. Step 2: Convert to fraction form
    111,402.10/167,103.15 = 81,877.60/x
  3. Step 3: Cross multiply
    111,402.10x = 167,103.15 × 81,877.60
  4. Step 4: Simplify right side
    111,402.10x = 13,682,004,874.44
  5. Step 5: Solve for x
    x = 13,682,004,874.44/111,402.10
  6. Step 6: Final answer
    x = 122,816.40

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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.