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Finding the Fourth Proportional to 65,834.10, 90,850.90 and 35,619.32

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Solution

The fourth proportional to 65,834.10, 90,850.90 and 35,619.32 is: 49,154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,834.10 : 90,850.90 = 35,619.32 : x
  2. Step 2: Convert to fraction form
    65,834.10/90,850.90 = 35,619.32/x
  3. Step 3: Cross multiply
    65,834.10x = 90,850.90 × 35,619.32
  4. Step 4: Simplify right side
    65,834.10x = 3,236,046,647.04
  5. Step 5: Solve for x
    x = 3,236,046,647.04/65,834.10
  6. Step 6: Final answer
    x = 49,154.57

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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.