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Finding the Fourth Proportional to 50,762.57, 76,102.79 and 21,202.53

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Solution

The fourth proportional to 50,762.57, 76,102.79 and 21,202.53 is: 31,786.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,762.57 : 76,102.79 = 21,202.53 : x
  2. Step 2: Convert to fraction form
    50,762.57/76,102.79 = 21,202.53/x
  3. Step 3: Cross multiply
    50,762.57x = 76,102.79 × 21,202.53
  4. Step 4: Simplify right side
    50,762.57x = 1,613,571,582.05
  5. Step 5: Solve for x
    x = 1,613,571,582.05/50,762.57
  6. Step 6: Final answer
    x = 31,786.64

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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.