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Finding the Fourth Proportional to 65,806.35, 90,812.41 and 35,591.64

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Solution

The fourth proportional to 65,806.35, 90,812.41 and 35,591.64 is: 49,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,806.35 : 90,812.41 = 35,591.64 : x
  2. Step 2: Convert to fraction form
    65,806.35/90,812.41 = 35,591.64/x
  3. Step 3: Cross multiply
    65,806.35x = 90,812.41 × 35,591.64
  4. Step 4: Simplify right side
    65,806.35x = 3,232,162,604.25
  5. Step 5: Solve for x
    x = 3,232,162,604.25/65,806.35
  6. Step 6: Final answer
    x = 49,116.27

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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.