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Finding the Fourth Proportional to 221,558.68, 305,749.40 and 120,956.68

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Solution

The fourth proportional to 221,558.68, 305,749.40 and 120,956.68 is: 166,919.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558.68 : 305,749.40 = 120,956.68 : x
  2. Step 2: Convert to fraction form
    221,558.68/305,749.40 = 120,956.68/x
  3. Step 3: Cross multiply
    221,558.68x = 305,749.40 × 120,956.68
  4. Step 4: Simplify right side
    221,558.68x = 36,982,432,335.99
  5. Step 5: Solve for x
    x = 36,982,432,335.99/221,558.68
  6. Step 6: Final answer
    x = 166,919.36

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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.