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Finding the Fourth Proportional to 71,352.88, 107,025.22 and 21,431.86

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Solution

The fourth proportional to 71,352.88, 107,025.22 and 21,431.86 is: 32,146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,352.88 : 107,025.22 = 21,431.86 : x
  2. Step 2: Convert to fraction form
    71,352.88/107,025.22 = 21,431.86/x
  3. Step 3: Cross multiply
    71,352.88x = 107,025.22 × 21,431.86
  4. Step 4: Simplify right side
    71,352.88x = 2,293,749,531.51
  5. Step 5: Solve for x
    x = 2,293,749,531.51/71,352.88
  6. Step 6: Final answer
    x = 32,146.56

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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.