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Finding the Fourth Proportional to 221,078.82, 305,101.23 and 167,270.41

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Solution

The fourth proportional to 221,078.82, 305,101.23 and 167,270.41 is: 230,842.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,078.82 : 305,101.23 = 167,270.41 : x
  2. Step 2: Convert to fraction form
    221,078.82/305,101.23 = 167,270.41/x
  3. Step 3: Cross multiply
    221,078.82x = 305,101.23 × 167,270.41
  4. Step 4: Simplify right side
    221,078.82x = 51,034,407,833.60
  5. Step 5: Solve for x
    x = 51,034,407,833.60/221,078.82
  6. Step 6: Final answer
    x = 230,842.59

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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.