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Finding the Fourth Proportional to 65,183.32, 89,953.86 and 38,325.88

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Solution

The fourth proportional to 65,183.32, 89,953.86 and 38,325.88 is: 52,890.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,183.32 : 89,953.86 = 38,325.88 : x
  2. Step 2: Convert to fraction form
    65,183.32/89,953.86 = 38,325.88/x
  3. Step 3: Cross multiply
    65,183.32x = 89,953.86 × 38,325.88
  4. Step 4: Simplify right side
    65,183.32x = 3,447,560,843.90
  5. Step 5: Solve for x
    x = 3,447,560,843.90/65,183.32
  6. Step 6: Final answer
    x = 52,890.23

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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.