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Finding the Fourth Proportional to 180,704.80, 271,316.40 and 136,640.80

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Solution

The fourth proportional to 180,704.80, 271,316.40 and 136,640.80 is: 205,157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,704.80 : 271,316.40 = 136,640.80 : x
  2. Step 2: Convert to fraction form
    180,704.80/271,316.40 = 136,640.80/x
  3. Step 3: Cross multiply
    180,704.80x = 271,316.40 × 136,640.80
  4. Step 4: Simplify right side
    180,704.80x = 37,072,889,949.12
  5. Step 5: Solve for x
    x = 37,072,889,949.12/180,704.80
  6. Step 6: Final answer
    x = 205,157.20

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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.