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Finding the Fourth Proportional to 208,745.43, 312,760.26 and 140,228.57

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Solution

The fourth proportional to 208,745.43, 312,760.26 and 140,228.57 is: 210,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,745.43 : 312,760.26 = 140,228.57 : x
  2. Step 2: Convert to fraction form
    208,745.43/312,760.26 = 140,228.57/x
  3. Step 3: Cross multiply
    208,745.43x = 312,760.26 × 140,228.57
  4. Step 4: Simplify right side
    208,745.43x = 43,857,924,012.63
  5. Step 5: Solve for x
    x = 43,857,924,012.63/208,745.43
  6. Step 6: Final answer
    x = 210,102.44

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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.