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Finding the Fourth Proportional to 43,838.28, 65,757.42 and 40,689

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Solution

The fourth proportional to 43,838.28, 65,757.42 and 40,689 is: 61,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,838.28 : 65,757.42 = 40,689 : x
  2. Step 2: Convert to fraction form
    43,838.28/65,757.42 = 40,689/x
  3. Step 3: Cross multiply
    43,838.28x = 65,757.42 × 40,689
  4. Step 4: Simplify right side
    43,838.28x = 2,675,603,662.38
  5. Step 5: Solve for x
    x = 2,675,603,662.38/43,838.28
  6. Step 6: Final answer
    x = 61,033.50

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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.