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Finding the Fourth Proportional to 180,939.60, 271,409.40 and 136,033.20

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Solution

The fourth proportional to 180,939.60, 271,409.40 and 136,033.20 is: 204,049.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,939.60 : 271,409.40 = 136,033.20 : x
  2. Step 2: Convert to fraction form
    180,939.60/271,409.40 = 136,033.20/x
  3. Step 3: Cross multiply
    180,939.60x = 271,409.40 × 136,033.20
  4. Step 4: Simplify right side
    180,939.60x = 36,920,689,192.08
  5. Step 5: Solve for x
    x = 36,920,689,192.08/180,939.60
  6. Step 6: Final answer
    x = 204,049.80

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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.