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Finding the Fourth Proportional to 86,510, 119,391.09 and 48,791.54

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Solution

The fourth proportional to 86,510, 119,391.09 and 48,791.54 is: 67,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,510 : 119,391.09 = 48,791.54 : x
  2. Step 2: Convert to fraction form
    86,510/119,391.09 = 48,791.54/x
  3. Step 3: Cross multiply
    86,510x = 119,391.09 × 48,791.54
  4. Step 4: Simplify right side
    86,510x = 5,825,275,143.38
  5. Step 5: Solve for x
    x = 5,825,275,143.38/86,510
  6. Step 6: Final answer
    x = 67,336.44

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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.