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Finding the Fourth Proportional to 180,136.34, 270,198.38 and 85,411.90

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Solution

The fourth proportional to 180,136.34, 270,198.38 and 85,411.90 is: 128,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,136.34 : 270,198.38 = 85,411.90 : x
  2. Step 2: Convert to fraction form
    180,136.34/270,198.38 = 85,411.90/x
  3. Step 3: Cross multiply
    180,136.34x = 270,198.38 × 85,411.90
  4. Step 4: Simplify right side
    180,136.34x = 23,078,157,564.00
  5. Step 5: Solve for x
    x = 23,078,157,564.00/180,136.34
  6. Step 6: Final answer
    x = 128,114.95

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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.