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Finding the Fourth Proportional to 138,731.81, 191,450.41 and 75,069.61

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Solution

The fourth proportional to 138,731.81, 191,450.41 and 75,069.61 is: 103,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,731.81 : 191,450.41 = 75,069.61 : x
  2. Step 2: Convert to fraction form
    138,731.81/191,450.41 = 75,069.61/x
  3. Step 3: Cross multiply
    138,731.81x = 191,450.41 × 75,069.61
  4. Step 4: Simplify right side
    138,731.81x = 14,372,107,696.33
  5. Step 5: Solve for x
    x = 14,372,107,696.33/138,731.81
  6. Step 6: Final answer
    x = 103,596.34

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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.