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Finding the Fourth Proportional to 107,348.60, 161,022.90 and 82,436.60

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Solution

The fourth proportional to 107,348.60, 161,022.90 and 82,436.60 is: 123,654.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,348.60 : 161,022.90 = 82,436.60 : x
  2. Step 2: Convert to fraction form
    107,348.60/161,022.90 = 82,436.60/x
  3. Step 3: Cross multiply
    107,348.60x = 161,022.90 × 82,436.60
  4. Step 4: Simplify right side
    107,348.60x = 13,274,180,398.14
  5. Step 5: Solve for x
    x = 13,274,180,398.14/107,348.60
  6. Step 6: Final answer
    x = 123,654.90

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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.