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Finding the Fourth Proportional to 159,169.31, 219,684.85 and 91,231.82

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Solution

The fourth proportional to 159,169.31, 219,684.85 and 91,231.82 is: 125,917.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,169.31 : 219,684.85 = 91,231.82 : x
  2. Step 2: Convert to fraction form
    159,169.31/219,684.85 = 91,231.82/x
  3. Step 3: Cross multiply
    159,169.31x = 219,684.85 × 91,231.82
  4. Step 4: Simplify right side
    159,169.31x = 20,042,249,013.06
  5. Step 5: Solve for x
    x = 20,042,249,013.06/159,169.31
  6. Step 6: Final answer
    x = 125,917.80

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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.