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Finding the Fourth Proportional to 71,383.20, 107,074.80 and 38,205.60

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Solution

The fourth proportional to 71,383.20, 107,074.80 and 38,205.60 is: 57,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,383.20 : 107,074.80 = 38,205.60 : x
  2. Step 2: Convert to fraction form
    71,383.20/107,074.80 = 38,205.60/x
  3. Step 3: Cross multiply
    71,383.20x = 107,074.80 × 38,205.60
  4. Step 4: Simplify right side
    71,383.20x = 4,090,856,978.88
  5. Step 5: Solve for x
    x = 4,090,856,978.88/71,383.20
  6. Step 6: Final answer
    x = 57,308.40

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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.