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Finding the Fourth Proportional to 43,841.28, 65,761.92 and 40,692

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Solution

The fourth proportional to 43,841.28, 65,761.92 and 40,692 is: 61,038

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,841.28 : 65,761.92 = 40,692 : x
  2. Step 2: Convert to fraction form
    43,841.28/65,761.92 = 40,692/x
  3. Step 3: Cross multiply
    43,841.28x = 65,761.92 × 40,692
  4. Step 4: Simplify right side
    43,841.28x = 2,675,984,048.64
  5. Step 5: Solve for x
    x = 2,675,984,048.64/43,841.28
  6. Step 6: Final answer
    x = 61,038

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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.