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Finding the Fourth Proportional to 200,712.70, 300,813.90 and 82,250.20

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Solution

The fourth proportional to 200,712.70, 300,813.90 and 82,250.20 is: 123,270.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,712.70 : 300,813.90 = 82,250.20 : x
  2. Step 2: Convert to fraction form
    200,712.70/300,813.90 = 82,250.20/x
  3. Step 3: Cross multiply
    200,712.70x = 300,813.90 × 82,250.20
  4. Step 4: Simplify right side
    200,712.70x = 24,742,003,437.78
  5. Step 5: Solve for x
    x = 24,742,003,437.78/200,712.70
  6. Step 6: Final answer
    x = 123,270.74

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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.