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Finding the Fourth Proportional to 50,694.50, 75,990.72 and 21,128.70

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Solution

The fourth proportional to 50,694.50, 75,990.72 and 21,128.70 is: 31,671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,694.50 : 75,990.72 = 21,128.70 : x
  2. Step 2: Convert to fraction form
    50,694.50/75,990.72 = 21,128.70/x
  3. Step 3: Cross multiply
    50,694.50x = 75,990.72 × 21,128.70
  4. Step 4: Simplify right side
    50,694.50x = 1,605,585,125.66
  5. Step 5: Solve for x
    x = 1,605,585,125.66/50,694.50
  6. Step 6: Final answer
    x = 31,671.78

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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.