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Finding the Fourth Proportional to 71,729.28, 98,991.90 and 39,900.54

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Solution

The fourth proportional to 71,729.28, 98,991.90 and 39,900.54 is: 55,065.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,729.28 : 98,991.90 = 39,900.54 : x
  2. Step 2: Convert to fraction form
    71,729.28/98,991.90 = 39,900.54/x
  3. Step 3: Cross multiply
    71,729.28x = 98,991.90 × 39,900.54
  4. Step 4: Simplify right side
    71,729.28x = 3,949,830,265.63
  5. Step 5: Solve for x
    x = 3,949,830,265.63/71,729.28
  6. Step 6: Final answer
    x = 55,065.80

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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.