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Finding the Fourth Proportional to 50,437, 75,648.69 and 20,850.73

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Solution

The fourth proportional to 50,437, 75,648.69 and 20,850.73 is: 31,273.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,437 : 75,648.69 = 20,850.73 : x
  2. Step 2: Convert to fraction form
    50,437/75,648.69 = 20,850.73/x
  3. Step 3: Cross multiply
    50,437x = 75,648.69 × 20,850.73
  4. Step 4: Simplify right side
    50,437x = 1,577,330,410.04
  5. Step 5: Solve for x
    x = 1,577,330,410.04/50,437
  6. Step 6: Final answer
    x = 31,273.28

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1.5x scale

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.