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Finding the Fourth Proportional to 50,989.86, 76,475.07 and 19,821.06

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Solution

The fourth proportional to 50,989.86, 76,475.07 and 19,821.06 is: 29,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,989.86 : 76,475.07 = 19,821.06 : x
  2. Step 2: Convert to fraction form
    50,989.86/76,475.07 = 19,821.06/x
  3. Step 3: Cross multiply
    50,989.86x = 76,475.07 × 19,821.06
  4. Step 4: Simplify right side
    50,989.86x = 1,515,816,950.97
  5. Step 5: Solve for x
    x = 1,515,816,950.97/50,989.86
  6. Step 6: Final answer
    x = 29,727.81

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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.