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Finding the Fourth Proportional to 110,998.70, 166,498.05 and 100,889.90

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Solution

The fourth proportional to 110,998.70, 166,498.05 and 100,889.90 is: 151,334.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,998.70 : 166,498.05 = 100,889.90 : x
  2. Step 2: Convert to fraction form
    110,998.70/166,498.05 = 100,889.90/x
  3. Step 3: Cross multiply
    110,998.70x = 166,498.05 × 100,889.90
  4. Step 4: Simplify right side
    110,998.70x = 16,797,971,614.70
  5. Step 5: Solve for x
    x = 16,797,971,614.70/110,998.70
  6. Step 6: Final answer
    x = 151,334.85

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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.