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Finding the Fourth Proportional to 50,490.96, 75,736.86 and 15,431.28

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Solution

The fourth proportional to 50,490.96, 75,736.86 and 15,431.28 is: 23,147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,490.96 : 75,736.86 = 15,431.28 : x
  2. Step 2: Convert to fraction form
    50,490.96/75,736.86 = 15,431.28/x
  3. Step 3: Cross multiply
    50,490.96x = 75,736.86 × 15,431.28
  4. Step 4: Simplify right side
    50,490.96x = 1,168,716,692.98
  5. Step 5: Solve for x
    x = 1,168,716,692.98/50,490.96
  6. Step 6: Final answer
    x = 23,147.05

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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.