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Finding the Fourth Proportional to 200,141.70, 300,186.62 and 75,466.50

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Solution

The fourth proportional to 200,141.70, 300,186.62 and 75,466.50 is: 113,189.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,141.70 : 300,186.62 = 75,466.50 : x
  2. Step 2: Convert to fraction form
    200,141.70/300,186.62 = 75,466.50/x
  3. Step 3: Cross multiply
    200,141.70x = 300,186.62 × 75,466.50
  4. Step 4: Simplify right side
    200,141.70x = 22,654,033,558.23
  5. Step 5: Solve for x
    x = 22,654,033,558.23/200,141.70
  6. Step 6: Final answer
    x = 113,189.97

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1.5x scale

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.