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Finding the Fourth Proportional to 65,189.81, 89,961.94 and 35,381.81

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Solution

The fourth proportional to 65,189.81, 89,961.94 and 35,381.81 is: 48,826.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,189.81 : 89,961.94 = 35,381.81 : x
  2. Step 2: Convert to fraction form
    65,189.81/89,961.94 = 35,381.81/x
  3. Step 3: Cross multiply
    65,189.81x = 89,961.94 × 35,381.81
  4. Step 4: Simplify right side
    65,189.81x = 3,183,016,537.44
  5. Step 5: Solve for x
    x = 3,183,016,537.44/65,189.81
  6. Step 6: Final answer
    x = 48,826.90

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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.