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Finding the Fourth Proportional to 159,168.94, 219,684.33 and 91,231.45

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Solution

The fourth proportional to 159,168.94, 219,684.33 and 91,231.45 is: 125,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,168.94 : 219,684.33 = 91,231.45 : x
  2. Step 2: Convert to fraction form
    159,168.94/219,684.33 = 91,231.45/x
  3. Step 3: Cross multiply
    159,168.94x = 219,684.33 × 91,231.45
  4. Step 4: Simplify right side
    159,168.94x = 20,042,119,418.97
  5. Step 5: Solve for x
    x = 20,042,119,418.97/159,168.94
  6. Step 6: Final answer
    x = 125,917.28

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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.