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Finding the Fourth Proportional to 43,838, 65,765.64 and 14,256.56

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Solution

The fourth proportional to 43,838, 65,765.64 and 14,256.56 is: 21,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,838 : 65,765.64 = 14,256.56 : x
  2. Step 2: Convert to fraction form
    43,838/65,765.64 = 14,256.56/x
  3. Step 3: Cross multiply
    43,838x = 65,765.64 × 14,256.56
  4. Step 4: Simplify right side
    43,838x = 937,591,792.60
  5. Step 5: Solve for x
    x = 937,591,792.60/43,838
  6. Step 6: Final answer
    x = 21,387.65

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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.