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Finding the Fourth Proportional to 71,868.48, 107,814.24 and 30,321.60

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Solution

The fourth proportional to 71,868.48, 107,814.24 and 30,321.60 is: 45,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,868.48 : 107,814.24 = 30,321.60 : x
  2. Step 2: Convert to fraction form
    71,868.48/107,814.24 = 30,321.60/x
  3. Step 3: Cross multiply
    71,868.48x = 107,814.24 × 30,321.60
  4. Step 4: Simplify right side
    71,868.48x = 3,269,100,259.58
  5. Step 5: Solve for x
    x = 3,269,100,259.58/71,868.48
  6. Step 6: Final answer
    x = 45,487.26

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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.