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Finding the Fourth Proportional to 68,689.38, 102,859.11 and 33,537

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Solution

The fourth proportional to 68,689.38, 102,859.11 and 33,537 is: 50,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,689.38 : 102,859.11 = 33,537 : x
  2. Step 2: Convert to fraction form
    68,689.38/102,859.11 = 33,537/x
  3. Step 3: Cross multiply
    68,689.38x = 102,859.11 × 33,537
  4. Step 4: Simplify right side
    68,689.38x = 3,449,585,972.07
  5. Step 5: Solve for x
    x = 3,449,585,972.07/68,689.38
  6. Step 6: Final answer
    x = 50,220.08

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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.