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Finding the Fourth Proportional to 71,469.20, 107,208.96 and 18,878

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Solution

The fourth proportional to 71,469.20, 107,208.96 and 18,878 is: 28,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,469.20 : 107,208.96 = 18,878 : x
  2. Step 2: Convert to fraction form
    71,469.20/107,208.96 = 18,878/x
  3. Step 3: Cross multiply
    71,469.20x = 107,208.96 × 18,878
  4. Step 4: Simplify right side
    71,469.20x = 2,023,890,746.88
  5. Step 5: Solve for x
    x = 2,023,890,746.88/71,469.20
  6. Step 6: Final answer
    x = 28,318.36

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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.