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Finding the Fourth Proportional to 137,640.42, 206,393.80 and 80,729.82

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Solution

The fourth proportional to 137,640.42, 206,393.80 and 80,729.82 is: 121,055.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.42 : 206,393.80 = 80,729.82 : x
  2. Step 2: Convert to fraction form
    137,640.42/206,393.80 = 80,729.82/x
  3. Step 3: Cross multiply
    137,640.42x = 206,393.80 × 80,729.82
  4. Step 4: Simplify right side
    137,640.42x = 16,662,134,323.12
  5. Step 5: Solve for x
    x = 16,662,134,323.12/137,640.42
  6. Step 6: Final answer
    x = 121,055.53

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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.