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Finding the Fourth Proportional to 50,213.88, 75,243.02 and 31,707

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Solution

The fourth proportional to 50,213.88, 75,243.02 and 31,707 is: 47,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,213.88 : 75,243.02 = 31,707 : x
  2. Step 2: Convert to fraction form
    50,213.88/75,243.02 = 31,707/x
  3. Step 3: Cross multiply
    50,213.88x = 75,243.02 × 31,707
  4. Step 4: Simplify right side
    50,213.88x = 2,385,730,435.14
  5. Step 5: Solve for x
    x = 2,385,730,435.14/50,213.88
  6. Step 6: Final answer
    x = 47,511.37

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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.