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Finding the Fourth Proportional to 50,420.75, 69,578.11 and 27,761.76

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Solution

The fourth proportional to 50,420.75, 69,578.11 and 27,761.76 is: 38,309.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,420.75 : 69,578.11 = 27,761.76 : x
  2. Step 2: Convert to fraction form
    50,420.75/69,578.11 = 27,761.76/x
  3. Step 3: Cross multiply
    50,420.75x = 69,578.11 × 27,761.76
  4. Step 4: Simplify right side
    50,420.75x = 1,931,611,099.54
  5. Step 5: Solve for x
    x = 1,931,611,099.54/50,420.75
  6. Step 6: Final answer
    x = 38,309.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.