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Finding the Fourth Proportional to 137,616, 189,910.43 and 80,294.73

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Solution

The fourth proportional to 137,616, 189,910.43 and 80,294.73 is: 110,806.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,616 : 189,910.43 = 80,294.73 : x
  2. Step 2: Convert to fraction form
    137,616/189,910.43 = 80,294.73/x
  3. Step 3: Cross multiply
    137,616x = 189,910.43 × 80,294.73
  4. Step 4: Simplify right side
    137,616x = 15,248,806,299.56
  5. Step 5: Solve for x
    x = 15,248,806,299.56/137,616
  6. Step 6: Final answer
    x = 110,806.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.