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Finding the Fourth Proportional to 71,352.88, 107,025.21 and 21,431.87

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Solution

The fourth proportional to 71,352.88, 107,025.21 and 21,431.87 is: 32,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352.88 : 107,025.21 = 21,431.87 : x
  2. Step 2: Convert to fraction form
    71,352.88/107,025.21 = 21,431.87/x
  3. Step 3: Cross multiply
    71,352.88x = 107,025.21 × 21,431.87
  4. Step 4: Simplify right side
    71,352.88x = 2,293,750,387.44
  5. Step 5: Solve for x
    x = 2,293,750,387.44/71,352.88
  6. Step 6: Final answer
    x = 32,146.57

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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.