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Finding the Fourth Proportional to 138,896.41, 207,751.28 and 115,960.85

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Solution

The fourth proportional to 138,896.41, 207,751.28 and 115,960.85 is: 173,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,896.41 : 207,751.28 = 115,960.85 : x
  2. Step 2: Convert to fraction form
    138,896.41/207,751.28 = 115,960.85/x
  3. Step 3: Cross multiply
    138,896.41x = 207,751.28 × 115,960.85
  4. Step 4: Simplify right side
    138,896.41x = 24,091,015,017.39
  5. Step 5: Solve for x
    x = 24,091,015,017.39/138,896.41
  6. Step 6: Final answer
    x = 173,445.92

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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.