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Finding the Fourth Proportional to 80,138, 120,207 and 21,770

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Solution

The fourth proportional to 80,138, 120,207 and 21,770 is: 32,655

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138 : 120,207 = 21,770 : x
  2. Step 2: Convert to fraction form
    80,138/120,207 = 21,770/x
  3. Step 3: Cross multiply
    80,138x = 120,207 × 21,770
  4. Step 4: Simplify right side
    80,138x = 2,616,906,390
  5. Step 5: Solve for x
    x = 2,616,906,390/80,138
  6. Step 6: Final answer
    x = 32,655

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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.