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Finding the Fourth Proportional to 221,549.50, 305,738.31 and 120,947.50

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Solution

The fourth proportional to 221,549.50, 305,738.31 and 120,947.50 is: 166,907.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,549.50 : 305,738.31 = 120,947.50 : x
  2. Step 2: Convert to fraction form
    221,549.50/305,738.31 = 120,947.50/x
  3. Step 3: Cross multiply
    221,549.50x = 305,738.31 × 120,947.50
  4. Step 4: Simplify right side
    221,549.50x = 36,978,284,248.73
  5. Step 5: Solve for x
    x = 36,978,284,248.73/221,549.50
  6. Step 6: Final answer
    x = 166,907.55

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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.