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Finding the Fourth Proportional to 75,999.31, 113,999.00 and 19,839.26

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Solution

The fourth proportional to 75,999.31, 113,999.00 and 19,839.26 is: 29,758.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,999.31 : 113,999.00 = 19,839.26 : x
  2. Step 2: Convert to fraction form
    75,999.31/113,999.00 = 19,839.26/x
  3. Step 3: Cross multiply
    75,999.31x = 113,999.00 × 19,839.26
  4. Step 4: Simplify right side
    75,999.31x = 2,261,655,986.54
  5. Step 5: Solve for x
    x = 2,261,655,986.54/75,999.31
  6. Step 6: Final answer
    x = 29,758.90

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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.