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Finding the Fourth Proportional to 200,515.20, 300,772.80 and 82,271.40

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Solution

The fourth proportional to 200,515.20, 300,772.80 and 82,271.40 is: 123,407.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,515.20 : 300,772.80 = 82,271.40 : x
  2. Step 2: Convert to fraction form
    200,515.20/300,772.80 = 82,271.40/x
  3. Step 3: Cross multiply
    200,515.20x = 300,772.80 × 82,271.40
  4. Step 4: Simplify right side
    200,515.20x = 24,744,999,337.92
  5. Step 5: Solve for x
    x = 24,744,999,337.92/200,515.20
  6. Step 6: Final answer
    x = 123,407.10

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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.