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Finding the Fourth Proportional to 71,042.82, 98,039.29 and 38,777.73

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Solution

The fourth proportional to 71,042.82, 98,039.29 and 38,777.73 is: 53,513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,042.82 : 98,039.29 = 38,777.73 : x
  2. Step 2: Convert to fraction form
    71,042.82/98,039.29 = 38,777.73/x
  3. Step 3: Cross multiply
    71,042.82x = 98,039.29 × 38,777.73
  4. Step 4: Simplify right side
    71,042.82x = 3,801,741,117.01
  5. Step 5: Solve for x
    x = 3,801,741,117.01/71,042.82
  6. Step 6: Final answer
    x = 53,513.38

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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.