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Finding the Fourth Proportional to 50,866.58, 76,269.89 and 20,871.87

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Solution

The fourth proportional to 50,866.58, 76,269.89 and 20,871.87 is: 31,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,866.58 : 76,269.89 = 20,871.87 : x
  2. Step 2: Convert to fraction form
    50,866.58/76,269.89 = 20,871.87/x
  3. Step 3: Cross multiply
    50,866.58x = 76,269.89 × 20,871.87
  4. Step 4: Simplify right side
    50,866.58x = 1,591,895,281.17
  5. Step 5: Solve for x
    x = 1,591,895,281.17/50,866.58
  6. Step 6: Final answer
    x = 31,295.51

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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.