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Finding the Fourth Proportional to 221,670, 305,906.55 and 126,182.84

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Solution

The fourth proportional to 221,670, 305,906.55 and 126,182.84 is: 174,133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,670 : 305,906.55 = 126,182.84 : x
  2. Step 2: Convert to fraction form
    221,670/305,906.55 = 126,182.84/x
  3. Step 3: Cross multiply
    221,670x = 305,906.55 × 126,182.84
  4. Step 4: Simplify right side
    221,670x = 38,600,157,253.60
  5. Step 5: Solve for x
    x = 38,600,157,253.60/221,670
  6. Step 6: Final answer
    x = 174,133.43

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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.