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Finding the Fourth Proportional to 80,136, 120,204 and 21,768

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Solution

The fourth proportional to 80,136, 120,204 and 21,768 is: 32,652

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,136 : 120,204 = 21,768 : x
  2. Step 2: Convert to fraction form
    80,136/120,204 = 21,768/x
  3. Step 3: Cross multiply
    80,136x = 120,204 × 21,768
  4. Step 4: Simplify right side
    80,136x = 2,616,600,672
  5. Step 5: Solve for x
    x = 2,616,600,672/80,136
  6. Step 6: Final answer
    x = 32,652

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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.