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Finding the Fourth Proportional to 200,151.20, 300,200.88 and 75,476

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Solution

The fourth proportional to 200,151.20, 300,200.88 and 75,476 is: 113,204.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,151.20 : 300,200.88 = 75,476 : x
  2. Step 2: Convert to fraction form
    200,151.20/300,200.88 = 75,476/x
  3. Step 3: Cross multiply
    200,151.20x = 300,200.88 × 75,476
  4. Step 4: Simplify right side
    200,151.20x = 22,657,961,618.88
  5. Step 5: Solve for x
    x = 22,657,961,618.88/200,151.20
  6. Step 6: Final answer
    x = 113,204.23

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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.