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Finding the Fourth Proportional to 65,118.38, 89,871.82 and 36,829.68

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Solution

The fourth proportional to 65,118.38, 89,871.82 and 36,829.68 is: 50,829.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,118.38 : 89,871.82 = 36,829.68 : x
  2. Step 2: Convert to fraction form
    65,118.38/89,871.82 = 36,829.68/x
  3. Step 3: Cross multiply
    65,118.38x = 89,871.82 × 36,829.68
  4. Step 4: Simplify right side
    65,118.38x = 3,309,950,371.62
  5. Step 5: Solve for x
    x = 3,309,950,371.62/65,118.38
  6. Step 6: Final answer
    x = 50,829.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.