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Finding the Fourth Proportional to 221,558.67, 305,749.39 and 120,956.67

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Solution

The fourth proportional to 221,558.67, 305,749.39 and 120,956.67 is: 166,919.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558.67 : 305,749.39 = 120,956.67 : x
  2. Step 2: Convert to fraction form
    221,558.67/305,749.39 = 120,956.67/x
  3. Step 3: Cross multiply
    221,558.67x = 305,749.39 × 120,956.67
  4. Step 4: Simplify right side
    221,558.67x = 36,982,428,068.93
  5. Step 5: Solve for x
    x = 36,982,428,068.93/221,558.67
  6. Step 6: Final answer
    x = 166,919.34

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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.