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Finding the Fourth Proportional to 43,884.78, 65,814.60 and 14,305.20

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Solution

The fourth proportional to 43,884.78, 65,814.60 and 14,305.20 is: 21,453.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,884.78 : 65,814.60 = 14,305.20 : x
  2. Step 2: Convert to fraction form
    43,884.78/65,814.60 = 14,305.20/x
  3. Step 3: Cross multiply
    43,884.78x = 65,814.60 × 14,305.20
  4. Step 4: Simplify right side
    43,884.78x = 941,491,015.92
  5. Step 5: Solve for x
    x = 941,491,015.92/43,884.78
  6. Step 6: Final answer
    x = 21,453.70

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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.