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Finding the Fourth Proportional to 221,601.78, 305,811.24 and 120,999.78

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Solution

The fourth proportional to 221,601.78, 305,811.24 and 120,999.78 is: 166,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,601.78 : 305,811.24 = 120,999.78 : x
  2. Step 2: Convert to fraction form
    221,601.78/305,811.24 = 120,999.78/x
  3. Step 3: Cross multiply
    221,601.78x = 305,811.24 × 120,999.78
  4. Step 4: Simplify right side
    221,601.78x = 37,003,092,761.53
  5. Step 5: Solve for x
    x = 37,003,092,761.53/221,601.78
  6. Step 6: Final answer
    x = 166,980.12

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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.