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Finding the Fourth Proportional to 50,471.16, 75,715.62 and 20,872.41

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Solution

The fourth proportional to 50,471.16, 75,715.62 and 20,872.41 is: 31,312.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471.16 : 75,715.62 = 20,872.41 : x
  2. Step 2: Convert to fraction form
    50,471.16/75,715.62 = 20,872.41/x
  3. Step 3: Cross multiply
    50,471.16x = 75,715.62 × 20,872.41
  4. Step 4: Simplify right side
    50,471.16x = 1,580,367,464.04
  5. Step 5: Solve for x
    x = 1,580,367,464.04/50,471.16
  6. Step 6: Final answer
    x = 31,312.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.