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Finding the Fourth Proportional to 137,649.80, 206,596.20 and 81,419.60

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Solution

The fourth proportional to 137,649.80, 206,596.20 and 81,419.60 is: 122,201.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,649.80 : 206,596.20 = 81,419.60 : x
  2. Step 2: Convert to fraction form
    137,649.80/206,596.20 = 81,419.60/x
  3. Step 3: Cross multiply
    137,649.80x = 206,596.20 × 81,419.60
  4. Step 4: Simplify right side
    137,649.80x = 16,820,979,965.52
  5. Step 5: Solve for x
    x = 16,820,979,965.52/137,649.80
  6. Step 6: Final answer
    x = 122,201.27

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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.