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Finding the Fourth Proportional to 71,478.96, 98,644.20 and 39,645.96

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Solution

The fourth proportional to 71,478.96, 98,644.20 and 39,645.96 is: 54,713.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,478.96 : 98,644.20 = 39,645.96 : x
  2. Step 2: Convert to fraction form
    71,478.96/98,644.20 = 39,645.96/x
  3. Step 3: Cross multiply
    71,478.96x = 98,644.20 × 39,645.96
  4. Step 4: Simplify right side
    71,478.96x = 3,910,844,007.43
  5. Step 5: Solve for x
    x = 3,910,844,007.43/71,478.96
  6. Step 6: Final answer
    x = 54,713.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.