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Finding the Fourth Proportional to 221,330.45, 305,436 and 120,728.45

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Solution

The fourth proportional to 221,330.45, 305,436 and 120,728.45 is: 166,605.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,330.45 : 305,436 = 120,728.45 : x
  2. Step 2: Convert to fraction form
    221,330.45/305,436 = 120,728.45/x
  3. Step 3: Cross multiply
    221,330.45x = 305,436 × 120,728.45
  4. Step 4: Simplify right side
    221,330.45x = 36,874,813,327.02
  5. Step 5: Solve for x
    x = 36,874,813,327.02/221,330.45
  6. Step 6: Final answer
    x = 166,605.25

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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.