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Finding the Fourth Proportional to 50,471, 75,683.43 and 18,857.87

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Solution

The fourth proportional to 50,471, 75,683.43 and 18,857.87 is: 28,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,471 : 75,683.43 = 18,857.87 : x
  2. Step 2: Convert to fraction form
    50,471/75,683.43 = 18,857.87/x
  3. Step 3: Cross multiply
    50,471x = 75,683.43 × 18,857.87
  4. Step 4: Simplify right side
    50,471x = 1,427,228,284.09
  5. Step 5: Solve for x
    x = 1,427,228,284.09/50,471
  6. Step 6: Final answer
    x = 28,278.19

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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.