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Finding the Fourth Proportional to 239,904, 331,096.72 and 139,302

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Solution

The fourth proportional to 239,904, 331,096.72 and 139,302 is: 192,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,904 : 331,096.72 = 139,302 : x
  2. Step 2: Convert to fraction form
    239,904/331,096.72 = 139,302/x
  3. Step 3: Cross multiply
    239,904x = 331,096.72 × 139,302
  4. Step 4: Simplify right side
    239,904x = 46,122,435,289.44
  5. Step 5: Solve for x
    x = 46,122,435,289.44/239,904
  6. Step 6: Final answer
    x = 192,253.72

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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.