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Finding the Fourth Proportional to 43,453.92, 65,158.68 and 21,234

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Solution

The fourth proportional to 43,453.92, 65,158.68 and 21,234 is: 31,840.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,453.92 : 65,158.68 = 21,234 : x
  2. Step 2: Convert to fraction form
    43,453.92/65,158.68 = 21,234/x
  3. Step 3: Cross multiply
    43,453.92x = 65,158.68 × 21,234
  4. Step 4: Simplify right side
    43,453.92x = 1,383,579,411.12
  5. Step 5: Solve for x
    x = 1,383,579,411.12/43,453.92
  6. Step 6: Final answer
    x = 31,840.15

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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.