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Finding the Fourth Proportional to 221,238.73, 305,309.41 and 120,636.73

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Solution

The fourth proportional to 221,238.73, 305,309.41 and 120,636.73 is: 166,478.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,238.73 : 305,309.41 = 120,636.73 : x
  2. Step 2: Convert to fraction form
    221,238.73/305,309.41 = 120,636.73/x
  3. Step 3: Cross multiply
    221,238.73x = 305,309.41 × 120,636.73
  4. Step 4: Simplify right side
    221,238.73x = 36,831,528,860.63
  5. Step 5: Solve for x
    x = 36,831,528,860.63/221,238.73
  6. Step 6: Final answer
    x = 166,478.67

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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.