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Finding the Fourth Proportional to 221,548.50, 305,736.93 and 120,946.50

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Solution

The fourth proportional to 221,548.50, 305,736.93 and 120,946.50 is: 166,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548.50 : 305,736.93 = 120,946.50 : x
  2. Step 2: Convert to fraction form
    221,548.50/305,736.93 = 120,946.50/x
  3. Step 3: Cross multiply
    221,548.50x = 305,736.93 × 120,946.50
  4. Step 4: Simplify right side
    221,548.50x = 36,977,811,604.25
  5. Step 5: Solve for x
    x = 36,977,811,604.25/221,548.50
  6. Step 6: Final answer
    x = 166,906.17

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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.