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Finding the Fourth Proportional to 137,728.30, 206,580.30 and 37,879.60

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Solution

The fourth proportional to 137,728.30, 206,580.30 and 37,879.60 is: 56,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.30 : 206,580.30 = 37,879.60 : x
  2. Step 2: Convert to fraction form
    137,728.30/206,580.30 = 37,879.60/x
  3. Step 3: Cross multiply
    137,728.30x = 206,580.30 × 37,879.60
  4. Step 4: Simplify right side
    137,728.30x = 7,825,179,131.88
  5. Step 5: Solve for x
    x = 7,825,179,131.88/137,728.30
  6. Step 6: Final answer
    x = 56,816.06

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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.