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Finding the Fourth Proportional to 265,747.96, 398,719.14 and 123,661

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Solution

The fourth proportional to 265,747.96, 398,719.14 and 123,661 is: 185,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,747.96 : 398,719.14 = 123,661 : x
  2. Step 2: Convert to fraction form
    265,747.96/398,719.14 = 123,661/x
  3. Step 3: Cross multiply
    265,747.96x = 398,719.14 × 123,661
  4. Step 4: Simplify right side
    265,747.96x = 49,306,007,571.54
  5. Step 5: Solve for x
    x = 49,306,007,571.54/265,747.96
  6. Step 6: Final answer
    x = 185,536.73

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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.