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Finding the Fourth Proportional to 65,414.56, 90,708.64 and 63,198.40

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Solution

The fourth proportional to 65,414.56, 90,708.64 and 63,198.40 is: 87,635.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.56 : 90,708.64 = 63,198.40 : x
  2. Step 2: Convert to fraction form
    65,414.56/90,708.64 = 63,198.40/x
  3. Step 3: Cross multiply
    65,414.56x = 90,708.64 × 63,198.40
  4. Step 4: Simplify right side
    65,414.56x = 5,732,640,914.18
  5. Step 5: Solve for x
    x = 5,732,640,914.18/65,414.56
  6. Step 6: Final answer
    x = 87,635.55

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.