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Finding the Fourth Proportional to 108,531.40, 162,797.10 and 82,287.40

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Solution

The fourth proportional to 108,531.40, 162,797.10 and 82,287.40 is: 123,431.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,531.40 : 162,797.10 = 82,287.40 : x
  2. Step 2: Convert to fraction form
    108,531.40/162,797.10 = 82,287.40/x
  3. Step 3: Cross multiply
    108,531.40x = 162,797.10 × 82,287.40
  4. Step 4: Simplify right side
    108,531.40x = 13,396,150,086.54
  5. Step 5: Solve for x
    x = 13,396,150,086.54/108,531.40
  6. Step 6: Final answer
    x = 123,431.10

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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.