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Finding the Fourth Proportional to 235,728, 325,296 and 128,295.36

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Solution

The fourth proportional to 235,728, 325,296 and 128,295.36 is: 177,042.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,728 : 325,296 = 128,295.36 : x
  2. Step 2: Convert to fraction form
    235,728/325,296 = 128,295.36/x
  3. Step 3: Cross multiply
    235,728x = 325,296 × 128,295.36
  4. Step 4: Simplify right side
    235,728x = 41,733,967,426.56
  5. Step 5: Solve for x
    x = 41,733,967,426.56/235,728
  6. Step 6: Final answer
    x = 177,042.89

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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.