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Finding the Fourth Proportional to 71,735.49, 107,581.37 and 19,138.14

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Solution

The fourth proportional to 71,735.49, 107,581.37 and 19,138.14 is: 28,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,735.49 : 107,581.37 = 19,138.14 : x
  2. Step 2: Convert to fraction form
    71,735.49/107,581.37 = 19,138.14/x
  3. Step 3: Cross multiply
    71,735.49x = 107,581.37 × 19,138.14
  4. Step 4: Simplify right side
    71,735.49x = 2,058,907,224.76
  5. Step 5: Solve for x
    x = 2,058,907,224.76/71,735.49
  6. Step 6: Final answer
    x = 28,701.38

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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.