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Finding the Fourth Proportional to 102,917.20, 154,375.80 and 100,843.60

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Solution

The fourth proportional to 102,917.20, 154,375.80 and 100,843.60 is: 151,265.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,917.20 : 154,375.80 = 100,843.60 : x
  2. Step 2: Convert to fraction form
    102,917.20/154,375.80 = 100,843.60/x
  3. Step 3: Cross multiply
    102,917.20x = 154,375.80 × 100,843.60
  4. Step 4: Simplify right side
    102,917.20x = 15,567,811,424.88
  5. Step 5: Solve for x
    x = 15,567,811,424.88/102,917.20
  6. Step 6: Final answer
    x = 151,265.40

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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.