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Finding the Fourth Proportional to 50,472, 75,684.92 and 18,858.86

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Solution

The fourth proportional to 50,472, 75,684.92 and 18,858.86 is: 28,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,472 : 75,684.92 = 18,858.86 : x
  2. Step 2: Convert to fraction form
    50,472/75,684.92 = 18,858.86/x
  3. Step 3: Cross multiply
    50,472x = 75,684.92 × 18,858.86
  4. Step 4: Simplify right side
    50,472x = 1,427,331,310.39
  5. Step 5: Solve for x
    x = 1,427,331,310.39/50,472
  6. Step 6: Final answer
    x = 28,279.67

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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.