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Finding the Fourth Proportional to 274,137.20, 411,205.80 and 87,167.60

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Solution

The fourth proportional to 274,137.20, 411,205.80 and 87,167.60 is: 130,751.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,137.20 : 411,205.80 = 87,167.60 : x
  2. Step 2: Convert to fraction form
    274,137.20/411,205.80 = 87,167.60/x
  3. Step 3: Cross multiply
    274,137.20x = 411,205.80 × 87,167.60
  4. Step 4: Simplify right side
    274,137.20x = 35,843,822,692.08
  5. Step 5: Solve for x
    x = 35,843,822,692.08/274,137.20
  6. Step 6: Final answer
    x = 130,751.40

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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.