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Finding the Fourth Proportional to 71,842.36, 99,142.43 and 41,645.21

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Solution

The fourth proportional to 71,842.36, 99,142.43 and 41,645.21 is: 57,470.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,842.36 : 99,142.43 = 41,645.21 : x
  2. Step 2: Convert to fraction form
    71,842.36/99,142.43 = 41,645.21/x
  3. Step 3: Cross multiply
    71,842.36x = 99,142.43 × 41,645.21
  4. Step 4: Simplify right side
    71,842.36x = 4,128,806,847.58
  5. Step 5: Solve for x
    x = 4,128,806,847.58/71,842.36
  6. Step 6: Final answer
    x = 57,470.37

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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.