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Finding the Fourth Proportional to 221,601.75, 305,811.24 and 120,999.75

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Solution

The fourth proportional to 221,601.75, 305,811.24 and 120,999.75 is: 166,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,601.75 : 305,811.24 = 120,999.75 : x
  2. Step 2: Convert to fraction form
    221,601.75/305,811.24 = 120,999.75/x
  3. Step 3: Cross multiply
    221,601.75x = 305,811.24 × 120,999.75
  4. Step 4: Simplify right side
    221,601.75x = 37,003,083,587.19
  5. Step 5: Solve for x
    x = 37,003,083,587.19/221,601.75
  6. Step 6: Final answer
    x = 166,980.11

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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.