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Finding the Fourth Proportional to 200,538.53, 300,605.25 and 125,711.12

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Solution

The fourth proportional to 200,538.53, 300,605.25 and 125,711.12 is: 188,439.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,538.53 : 300,605.25 = 125,711.12 : x
  2. Step 2: Convert to fraction form
    200,538.53/300,605.25 = 125,711.12/x
  3. Step 3: Cross multiply
    200,538.53x = 300,605.25 × 125,711.12
  4. Step 4: Simplify right side
    200,538.53x = 37,789,421,152.35
  5. Step 5: Solve for x
    x = 37,789,421,152.35/200,538.53
  6. Step 6: Final answer
    x = 188,439.71

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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.