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Finding the Fourth Proportional to 206,831.36, 310,248 and 82,172

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Solution

The fourth proportional to 206,831.36, 310,248 and 82,172 is: 123,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,831.36 : 310,248 = 82,172 : x
  2. Step 2: Convert to fraction form
    206,831.36/310,248 = 82,172/x
  3. Step 3: Cross multiply
    206,831.36x = 310,248 × 82,172
  4. Step 4: Simplify right side
    206,831.36x = 25,493,698,656
  5. Step 5: Solve for x
    x = 25,493,698,656/206,831.36
  6. Step 6: Final answer
    x = 123,258.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.