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Finding the Fourth Proportional to 137,672.48, 206,659.56 and 109,391.22

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Solution

The fourth proportional to 137,672.48, 206,659.56 and 109,391.22 is: 164,206.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,672.48 : 206,659.56 = 109,391.22 : x
  2. Step 2: Convert to fraction form
    137,672.48/206,659.56 = 109,391.22/x
  3. Step 3: Cross multiply
    137,672.48x = 206,659.56 × 109,391.22
  4. Step 4: Simplify right side
    137,672.48x = 22,606,741,393.06
  5. Step 5: Solve for x
    x = 22,606,741,393.06/137,672.48
  6. Step 6: Final answer
    x = 164,206.69

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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.