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Finding the Fourth Proportional to 180,748.22, 270,825.87 and 128,063.66

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Solution

The fourth proportional to 180,748.22, 270,825.87 and 128,063.66 is: 191,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,748.22 : 270,825.87 = 128,063.66 : x
  2. Step 2: Convert to fraction form
    180,748.22/270,825.87 = 128,063.66/x
  3. Step 3: Cross multiply
    180,748.22x = 270,825.87 × 128,063.66
  4. Step 4: Simplify right side
    180,748.22x = 34,682,952,134.88
  5. Step 5: Solve for x
    x = 34,682,952,134.88/180,748.22
  6. Step 6: Final answer
    x = 191,885.44

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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.