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Finding the Fourth Proportional to 80,074, 120,111 and 21,706

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Solution

The fourth proportional to 80,074, 120,111 and 21,706 is: 32,559

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,074 : 120,111 = 21,706 : x
  2. Step 2: Convert to fraction form
    80,074/120,111 = 21,706/x
  3. Step 3: Cross multiply
    80,074x = 120,111 × 21,706
  4. Step 4: Simplify right side
    80,074x = 2,607,129,366
  5. Step 5: Solve for x
    x = 2,607,129,366/80,074
  6. Step 6: Final answer
    x = 32,559

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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.