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Finding the Fourth Proportional to 137,201.60, 205,672.80 and 81,084.80

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Solution

The fourth proportional to 137,201.60, 205,672.80 and 81,084.80 is: 121,550.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,201.60 : 205,672.80 = 81,084.80 : x
  2. Step 2: Convert to fraction form
    137,201.60/205,672.80 = 81,084.80/x
  3. Step 3: Cross multiply
    137,201.60x = 205,672.80 × 81,084.80
  4. Step 4: Simplify right side
    137,201.60x = 16,676,937,853.44
  5. Step 5: Solve for x
    x = 16,676,937,853.44/137,201.60
  6. Step 6: Final answer
    x = 121,550.61

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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.