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Finding the Fourth Proportional to 123,609.60, 185,299.20 and 86,169.60

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Solution

The fourth proportional to 123,609.60, 185,299.20 and 86,169.60 is: 129,174.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,609.60 : 185,299.20 = 86,169.60 : x
  2. Step 2: Convert to fraction form
    123,609.60/185,299.20 = 86,169.60/x
  3. Step 3: Cross multiply
    123,609.60x = 185,299.20 × 86,169.60
  4. Step 4: Simplify right side
    123,609.60x = 15,967,157,944.32
  5. Step 5: Solve for x
    x = 15,967,157,944.32/123,609.60
  6. Step 6: Final answer
    x = 129,174.09

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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.