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Finding the Fourth Proportional to 200,387.81, 276,537.02 and 136,724.24

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Solution

The fourth proportional to 200,387.81, 276,537.02 and 136,724.24 is: 188,680.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,387.81 : 276,537.02 = 136,724.24 : x
  2. Step 2: Convert to fraction form
    200,387.81/276,537.02 = 136,724.24/x
  3. Step 3: Cross multiply
    200,387.81x = 276,537.02 × 136,724.24
  4. Step 4: Simplify right side
    200,387.81x = 37,809,313,899.09
  5. Step 5: Solve for x
    x = 37,809,313,899.09/200,387.81
  6. Step 6: Final answer
    x = 188,680.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.