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Finding the Fourth Proportional to 137,108.96, 205,371.78 and 80,888.48

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Solution

The fourth proportional to 137,108.96, 205,371.78 and 80,888.48 is: 121,160.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,108.96 : 205,371.78 = 80,888.48 : x
  2. Step 2: Convert to fraction form
    137,108.96/205,371.78 = 80,888.48/x
  3. Step 3: Cross multiply
    137,108.96x = 205,371.78 × 80,888.48
  4. Step 4: Simplify right side
    137,108.96x = 16,612,211,119.09
  5. Step 5: Solve for x
    x = 16,612,211,119.09/137,108.96
  6. Step 6: Final answer
    x = 121,160.65

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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.