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Finding the Fourth Proportional to 221,688.56, 305,930.25 and 121,086.56

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Solution

The fourth proportional to 221,688.56, 305,930.25 and 121,086.56 is: 167,099.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688.56 : 305,930.25 = 121,086.56 : x
  2. Step 2: Convert to fraction form
    221,688.56/305,930.25 = 121,086.56/x
  3. Step 3: Cross multiply
    221,688.56x = 305,930.25 × 121,086.56
  4. Step 4: Simplify right side
    221,688.56x = 37,044,042,337.27
  5. Step 5: Solve for x
    x = 37,044,042,337.27/221,688.56
  6. Step 6: Final answer
    x = 167,099.47

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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.