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Finding the Fourth Proportional to 137,110.96, 205,374.78 and 80,890.48

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Solution

The fourth proportional to 137,110.96, 205,374.78 and 80,890.48 is: 121,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,110.96 : 205,374.78 = 80,890.48 : x
  2. Step 2: Convert to fraction form
    137,110.96/205,374.78 = 80,890.48/x
  3. Step 3: Cross multiply
    137,110.96x = 205,374.78 × 80,890.48
  4. Step 4: Simplify right side
    137,110.96x = 16,612,864,534.09
  5. Step 5: Solve for x
    x = 16,612,864,534.09/137,110.96
  6. Step 6: Final answer
    x = 121,163.65

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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.