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Finding the Fourth Proportional to 80,181.99, 120,269.34 and 21,016.35

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Solution

The fourth proportional to 80,181.99, 120,269.34 and 21,016.35 is: 31,523.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,181.99 : 120,269.34 = 21,016.35 : x
  2. Step 2: Convert to fraction form
    80,181.99/120,269.34 = 21,016.35/x
  3. Step 3: Cross multiply
    80,181.99x = 120,269.34 × 21,016.35
  4. Step 4: Simplify right side
    80,181.99x = 2,527,622,543.71
  5. Step 5: Solve for x
    x = 2,527,622,543.71/80,181.99
  6. Step 6: Final answer
    x = 31,523.57

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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.