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Finding the Fourth Proportional to 50,694, 75,989.97 and 21,128.19

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Solution

The fourth proportional to 50,694, 75,989.97 and 21,128.19 is: 31,671.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,694 : 75,989.97 = 21,128.19 : x
  2. Step 2: Convert to fraction form
    50,694/75,989.97 = 21,128.19/x
  3. Step 3: Cross multiply
    50,694x = 75,989.97 × 21,128.19
  4. Step 4: Simplify right side
    50,694x = 1,605,530,524.25
  5. Step 5: Solve for x
    x = 1,605,530,524.25/50,694
  6. Step 6: Final answer
    x = 31,671.02

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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.