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Finding the Fourth Proportional to 221,574.94, 305,771.82 and 120,972.94

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Solution

The fourth proportional to 221,574.94, 305,771.82 and 120,972.94 is: 166,941.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,574.94 : 305,771.82 = 120,972.94 : x
  2. Step 2: Convert to fraction form
    221,574.94/305,771.82 = 120,972.94/x
  3. Step 3: Cross multiply
    221,574.94x = 305,771.82 × 120,972.94
  4. Step 4: Simplify right side
    221,574.94x = 36,990,116,034.55
  5. Step 5: Solve for x
    x = 36,990,116,034.55/221,574.94
  6. Step 6: Final answer
    x = 166,941.79

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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.