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Finding the Fourth Proportional to 123,082.39, 185,009.01 and 81,231.45

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Solution

The fourth proportional to 123,082.39, 185,009.01 and 81,231.45 is: 122,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,082.39 : 185,009.01 = 81,231.45 : x
  2. Step 2: Convert to fraction form
    123,082.39/185,009.01 = 81,231.45/x
  3. Step 3: Cross multiply
    123,082.39x = 185,009.01 × 81,231.45
  4. Step 4: Simplify right side
    123,082.39x = 15,028,550,145.36
  5. Step 5: Solve for x
    x = 15,028,550,145.36/123,082.39
  6. Step 6: Final answer
    x = 122,101.55

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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.