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Finding the Fourth Proportional to 221,246.82, 305,320.05 and 120,644.82

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Solution

The fourth proportional to 221,246.82, 305,320.05 and 120,644.82 is: 166,489.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,246.82 : 305,320.05 = 120,644.82 : x
  2. Step 2: Convert to fraction form
    221,246.82/305,320.05 = 120,644.82/x
  3. Step 3: Cross multiply
    221,246.82x = 305,320.05 × 120,644.82
  4. Step 4: Simplify right side
    221,246.82x = 36,835,282,474.64
  5. Step 5: Solve for x
    x = 36,835,282,474.64/221,246.82
  6. Step 6: Final answer
    x = 166,489.55

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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.