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Finding the Fourth Proportional to 208,796.52, 288,144.75 and 113,303.28

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Solution

The fourth proportional to 208,796.52, 288,144.75 and 113,303.28 is: 156,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,796.52 : 288,144.75 = 113,303.28 : x
  2. Step 2: Convert to fraction form
    208,796.52/288,144.75 = 113,303.28/x
  3. Step 3: Cross multiply
    208,796.52x = 288,144.75 × 113,303.28
  4. Step 4: Simplify right side
    208,796.52x = 32,647,745,289.78
  5. Step 5: Solve for x
    x = 32,647,745,289.78/208,796.52
  6. Step 6: Final answer
    x = 156,361.54

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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.