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Finding the Fourth Proportional to 43,911.60, 65,859.96 and 12,314.40

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Solution

The fourth proportional to 43,911.60, 65,859.96 and 12,314.40 is: 18,469.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,911.60 : 65,859.96 = 12,314.40 : x
  2. Step 2: Convert to fraction form
    43,911.60/65,859.96 = 12,314.40/x
  3. Step 3: Cross multiply
    43,911.60x = 65,859.96 × 12,314.40
  4. Step 4: Simplify right side
    43,911.60x = 811,025,891.42
  5. Step 5: Solve for x
    x = 811,025,891.42/43,911.60
  6. Step 6: Final answer
    x = 18,469.51

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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.