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Finding the Fourth Proportional to 120,226, 180,221.80 and 50,125.36

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Solution

The fourth proportional to 120,226, 180,221.80 and 50,125.36 is: 75,139.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,226 : 180,221.80 = 50,125.36 : x
  2. Step 2: Convert to fraction form
    120,226/180,221.80 = 50,125.36/x
  3. Step 3: Cross multiply
    120,226x = 180,221.80 × 50,125.36
  4. Step 4: Simplify right side
    120,226x = 9,033,682,604.85
  5. Step 5: Solve for x
    x = 9,033,682,604.85/120,226
  6. Step 6: Final answer
    x = 75,139.18

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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.