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Finding the Fourth Proportional to 71,692, 98,930.28 and 39,859.76

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Solution

The fourth proportional to 71,692, 98,930.28 and 39,859.76 is: 55,003.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,692 : 98,930.28 = 39,859.76 : x
  2. Step 2: Convert to fraction form
    71,692/98,930.28 = 39,859.76/x
  3. Step 3: Cross multiply
    71,692x = 98,930.28 × 39,859.76
  4. Step 4: Simplify right side
    71,692x = 3,943,337,217.53
  5. Step 5: Solve for x
    x = 3,943,337,217.53/71,692
  6. Step 6: Final answer
    x = 55,003.87

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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.