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Finding the Fourth Proportional to 221,240.03, 305,311.14 and 120,638.03

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Solution

The fourth proportional to 221,240.03, 305,311.14 and 120,638.03 is: 166,480.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,240.03 : 305,311.14 = 120,638.03 : x
  2. Step 2: Convert to fraction form
    221,240.03/305,311.14 = 120,638.03/x
  3. Step 3: Cross multiply
    221,240.03x = 305,311.14 × 120,638.03
  4. Step 4: Simplify right side
    221,240.03x = 36,832,132,940.10
  5. Step 5: Solve for x
    x = 36,832,132,940.10/221,240.03
  6. Step 6: Final answer
    x = 166,480.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.