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Finding the Fourth Proportional to 85,813.44, 128,579.58 and 82,533

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Solution

The fourth proportional to 85,813.44, 128,579.58 and 82,533 is: 123,664.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,813.44 : 128,579.58 = 82,533 : x
  2. Step 2: Convert to fraction form
    85,813.44/128,579.58 = 82,533/x
  3. Step 3: Cross multiply
    85,813.44x = 128,579.58 × 82,533
  4. Step 4: Simplify right side
    85,813.44x = 10,612,058,476.14
  5. Step 5: Solve for x
    x = 10,612,058,476.14/85,813.44
  6. Step 6: Final answer
    x = 123,664.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.