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Finding the Fourth Proportional to 43,644, 65,468.70 and 12,481.68

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Solution

The fourth proportional to 43,644, 65,468.70 and 12,481.68 is: 18,723.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,644 : 65,468.70 = 12,481.68 : x
  2. Step 2: Convert to fraction form
    43,644/65,468.70 = 12,481.68/x
  3. Step 3: Cross multiply
    43,644x = 65,468.70 × 12,481.68
  4. Step 4: Simplify right side
    43,644x = 817,159,363.42
  5. Step 5: Solve for x
    x = 817,159,363.42/43,644
  6. Step 6: Final answer
    x = 18,723.29

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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.