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Finding the Fourth Proportional to 137,114.80, 205,234.80 and 107,371.60

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Solution

The fourth proportional to 137,114.80, 205,234.80 and 107,371.60 is: 160,714.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,114.80 : 205,234.80 = 107,371.60 : x
  2. Step 2: Convert to fraction form
    137,114.80/205,234.80 = 107,371.60/x
  3. Step 3: Cross multiply
    137,114.80x = 205,234.80 × 107,371.60
  4. Step 4: Simplify right side
    137,114.80x = 22,036,388,851.68
  5. Step 5: Solve for x
    x = 22,036,388,851.68/137,114.80
  6. Step 6: Final answer
    x = 160,714.88

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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.