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Finding the Fourth Proportional to 80,138.82, 120,215.16 and 20,974.44

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Solution

The fourth proportional to 80,138.82, 120,215.16 and 20,974.44 is: 31,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,138.82 : 120,215.16 = 20,974.44 : x
  2. Step 2: Convert to fraction form
    80,138.82/120,215.16 = 20,974.44/x
  3. Step 3: Cross multiply
    80,138.82x = 120,215.16 × 20,974.44
  4. Step 4: Simplify right side
    80,138.82x = 2,521,445,660.51
  5. Step 5: Solve for x
    x = 2,521,445,660.51/80,138.82
  6. Step 6: Final answer
    x = 31,463.47

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1.5x scale

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.