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Finding the Fourth Proportional to 85,991.68, 128,954.31 and 33,394.06

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Solution

The fourth proportional to 85,991.68, 128,954.31 and 33,394.06 is: 50,078.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991.68 : 128,954.31 = 33,394.06 : x
  2. Step 2: Convert to fraction form
    85,991.68/128,954.31 = 33,394.06/x
  3. Step 3: Cross multiply
    85,991.68x = 128,954.31 × 33,394.06
  4. Step 4: Simplify right side
    85,991.68x = 4,306,307,965.40
  5. Step 5: Solve for x
    x = 4,306,307,965.40/85,991.68
  6. Step 6: Final answer
    x = 50,078.19

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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.