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Finding the Fourth Proportional to 137,729.60, 206,205.60 and 133,841.60

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Solution

The fourth proportional to 137,729.60, 206,205.60 and 133,841.60 is: 200,384.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729.60 : 206,205.60 = 133,841.60 : x
  2. Step 2: Convert to fraction form
    137,729.60/206,205.60 = 133,841.60/x
  3. Step 3: Cross multiply
    137,729.60x = 206,205.60 × 133,841.60
  4. Step 4: Simplify right side
    137,729.60x = 27,598,887,432.96
  5. Step 5: Solve for x
    x = 27,598,887,432.96/137,729.60
  6. Step 6: Final answer
    x = 200,384.58

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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.