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Finding the Fourth Proportional to 50,531.63, 75,765.03 and 20,969.87

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Solution

The fourth proportional to 50,531.63, 75,765.03 and 20,969.87 is: 31,441.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,531.63 : 75,765.03 = 20,969.87 : x
  2. Step 2: Convert to fraction form
    50,531.63/75,765.03 = 20,969.87/x
  3. Step 3: Cross multiply
    50,531.63x = 75,765.03 × 20,969.87
  4. Step 4: Simplify right side
    50,531.63x = 1,588,782,450.82
  5. Step 5: Solve for x
    x = 1,588,782,450.82/50,531.63
  6. Step 6: Final answer
    x = 31,441.35

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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.