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Finding the Fourth Proportional to 50,866.50, 76,333.61 and 20,905.31

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Solution

The fourth proportional to 50,866.50, 76,333.61 and 20,905.31 is: 31,371.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.50 : 76,333.61 = 20,905.31 : x
  2. Step 2: Convert to fraction form
    50,866.50/76,333.61 = 20,905.31/x
  3. Step 3: Cross multiply
    50,866.50x = 76,333.61 × 20,905.31
  4. Step 4: Simplify right side
    50,866.50x = 1,595,777,780.47
  5. Step 5: Solve for x
    x = 1,595,777,780.47/50,866.50
  6. Step 6: Final answer
    x = 31,371.88

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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.