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Finding the Fourth Proportional to 50,324, 69,450 and 27,975.20

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Solution

The fourth proportional to 50,324, 69,450 and 27,975.20 is: 38,607.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,324 : 69,450 = 27,975.20 : x
  2. Step 2: Convert to fraction form
    50,324/69,450 = 27,975.20/x
  3. Step 3: Cross multiply
    50,324x = 69,450 × 27,975.20
  4. Step 4: Simplify right side
    50,324x = 1,942,877,640
  5. Step 5: Solve for x
    x = 1,942,877,640/50,324
  6. Step 6: Final answer
    x = 38,607.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.