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Finding the Fourth Proportional to 85,991.16, 118,725.64 and 65,812

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Solution

The fourth proportional to 85,991.16, 118,725.64 and 65,812 is: 90,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,991.16 : 118,725.64 = 65,812 : x
  2. Step 2: Convert to fraction form
    85,991.16/118,725.64 = 65,812/x
  3. Step 3: Cross multiply
    85,991.16x = 118,725.64 × 65,812
  4. Step 4: Simplify right side
    85,991.16x = 7,813,571,819.68
  5. Step 5: Solve for x
    x = 7,813,571,819.68/85,991.16
  6. Step 6: Final answer
    x = 90,864.83

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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.