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Finding the Fourth Proportional to 221,087.47, 305,100.98 and 120,485.47

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Solution

The fourth proportional to 221,087.47, 305,100.98 and 120,485.47 is: 166,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,087.47 : 305,100.98 = 120,485.47 : x
  2. Step 2: Convert to fraction form
    221,087.47/305,100.98 = 120,485.47/x
  3. Step 3: Cross multiply
    221,087.47x = 305,100.98 × 120,485.47
  4. Step 4: Simplify right side
    221,087.47x = 36,760,234,370.33
  5. Step 5: Solve for x
    x = 36,760,234,370.33/221,087.47
  6. Step 6: Final answer
    x = 166,270.09

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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.