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Finding the Fourth Proportional to 43,771.78, 65,659.21 and 14,189.87

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Solution

The fourth proportional to 43,771.78, 65,659.21 and 14,189.87 is: 21,285.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,771.78 : 65,659.21 = 14,189.87 : x
  2. Step 2: Convert to fraction form
    43,771.78/65,659.21 = 14,189.87/x
  3. Step 3: Cross multiply
    43,771.78x = 65,659.21 × 14,189.87
  4. Step 4: Simplify right side
    43,771.78x = 931,695,690.54
  5. Step 5: Solve for x
    x = 931,695,690.54/43,771.78
  6. Step 6: Final answer
    x = 21,285.31

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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.