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Finding the Fourth Proportional to 221,085, 305,099.46 and 120,485.16

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Solution

The fourth proportional to 221,085, 305,099.46 and 120,485.16 is: 166,270.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,085 : 305,099.46 = 120,485.16 : x
  2. Step 2: Convert to fraction form
    221,085/305,099.46 = 120,485.16/x
  3. Step 3: Cross multiply
    221,085x = 305,099.46 × 120,485.16
  4. Step 4: Simplify right side
    221,085x = 36,759,957,254.01
  5. Step 5: Solve for x
    x = 36,759,957,254.01/221,085
  6. Step 6: Final answer
    x = 166,270.70

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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.