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Finding the Fourth Proportional to 43,447.72, 65,174.54 and 13,867.78

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Solution

The fourth proportional to 43,447.72, 65,174.54 and 13,867.78 is: 20,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,447.72 : 65,174.54 = 13,867.78 : x
  2. Step 2: Convert to fraction form
    43,447.72/65,174.54 = 13,867.78/x
  3. Step 3: Cross multiply
    43,447.72x = 65,174.54 × 13,867.78
  4. Step 4: Simplify right side
    43,447.72x = 903,826,112.98
  5. Step 5: Solve for x
    x = 903,826,112.98/43,447.72
  6. Step 6: Final answer
    x = 20,802.61

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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.