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Finding the Fourth Proportional to 50,504, 75,771.72 and 20,935.76

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Solution

The fourth proportional to 50,504, 75,771.72 and 20,935.76 is: 31,410.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,504 : 75,771.72 = 20,935.76 : x
  2. Step 2: Convert to fraction form
    50,504/75,771.72 = 20,935.76/x
  3. Step 3: Cross multiply
    50,504x = 75,771.72 × 20,935.76
  4. Step 4: Simplify right side
    50,504x = 1,586,338,544.71
  5. Step 5: Solve for x
    x = 1,586,338,544.71/50,504
  6. Step 6: Final answer
    x = 31,410.16

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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.