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Finding the Fourth Proportional to 221,556.17, 305,745.95 and 120,954.17

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Solution

The fourth proportional to 221,556.17, 305,745.95 and 120,954.17 is: 166,915.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,556.17 : 305,745.95 = 120,954.17 : x
  2. Step 2: Convert to fraction form
    221,556.17/305,745.95 = 120,954.17/x
  3. Step 3: Cross multiply
    221,556.17x = 305,745.95 × 120,954.17
  4. Step 4: Simplify right side
    221,556.17x = 36,981,245,479.61
  5. Step 5: Solve for x
    x = 36,981,245,479.61/221,556.17
  6. Step 6: Final answer
    x = 166,915.89

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1.5x scale

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.