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Finding the Fourth Proportional to 50,288, 75,441.72 and 19,120.82

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Solution

The fourth proportional to 50,288, 75,441.72 and 19,120.82 is: 28,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,288 : 75,441.72 = 19,120.82 : x
  2. Step 2: Convert to fraction form
    50,288/75,441.72 = 19,120.82/x
  3. Step 3: Cross multiply
    50,288x = 75,441.72 × 19,120.82
  4. Step 4: Simplify right side
    50,288x = 1,442,507,548.61
  5. Step 5: Solve for x
    x = 1,442,507,548.61/50,288
  6. Step 6: Final answer
    x = 28,684.93

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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.