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Finding the Fourth Proportional to 200,538.23, 300,604.81 and 125,710.82

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Solution

The fourth proportional to 200,538.23, 300,604.81 and 125,710.82 is: 188,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.23 : 300,604.81 = 125,710.82 : x
  2. Step 2: Convert to fraction form
    200,538.23/300,604.81 = 125,710.82/x
  3. Step 3: Cross multiply
    200,538.23x = 300,604.81 × 125,710.82
  4. Step 4: Simplify right side
    200,538.23x = 37,789,276,143.08
  5. Step 5: Solve for x
    x = 37,789,276,143.08/200,538.23
  6. Step 6: Final answer
    x = 188,439.27

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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.