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Finding the Fourth Proportional to 221,064.56, 305,069.04 and 120,462.56

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Solution

The fourth proportional to 221,064.56, 305,069.04 and 120,462.56 is: 166,238.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,064.56 : 305,069.04 = 120,462.56 : x
  2. Step 2: Convert to fraction form
    221,064.56/305,069.04 = 120,462.56/x
  3. Step 3: Cross multiply
    221,064.56x = 305,069.04 × 120,462.56
  4. Step 4: Simplify right side
    221,064.56x = 36,749,397,535.14
  5. Step 5: Solve for x
    x = 36,749,397,535.14/221,064.56
  6. Step 6: Final answer
    x = 166,238.30

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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.