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Finding the Fourth Proportional to 221,046.58, 305,046.57 and 120,444.58

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Solution

The fourth proportional to 221,046.58, 305,046.57 and 120,444.58 is: 166,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,046.58 : 305,046.57 = 120,444.58 : x
  2. Step 2: Convert to fraction form
    221,046.58/305,046.57 = 120,444.58/x
  3. Step 3: Cross multiply
    221,046.58x = 305,046.57 × 120,444.58
  4. Step 4: Simplify right side
    221,046.58x = 36,741,206,004.09
  5. Step 5: Solve for x
    x = 36,741,206,004.09/221,046.58
  6. Step 6: Final answer
    x = 166,214.77

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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.