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Finding the Fourth Proportional to 137,639.42, 206,392.30 and 80,728.82

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Solution

The fourth proportional to 137,639.42, 206,392.30 and 80,728.82 is: 121,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,639.42 : 206,392.30 = 80,728.82 : x
  2. Step 2: Convert to fraction form
    137,639.42/206,392.30 = 80,728.82/x
  3. Step 3: Cross multiply
    137,639.42x = 206,392.30 × 80,728.82
  4. Step 4: Simplify right side
    137,639.42x = 16,661,806,836.09
  5. Step 5: Solve for x
    x = 16,661,806,836.09/137,639.42
  6. Step 6: Final answer
    x = 121,054.03

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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.