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Finding the Fourth Proportional to 138,619.94, 191,122.14 and 115,682.78

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Solution

The fourth proportional to 138,619.94, 191,122.14 and 115,682.78 is: 159,497.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,619.94 : 191,122.14 = 115,682.78 : x
  2. Step 2: Convert to fraction form
    138,619.94/191,122.14 = 115,682.78/x
  3. Step 3: Cross multiply
    138,619.94x = 191,122.14 × 115,682.78
  4. Step 4: Simplify right side
    138,619.94x = 22,109,540,474.75
  5. Step 5: Solve for x
    x = 22,109,540,474.75/138,619.94
  6. Step 6: Final answer
    x = 159,497.55

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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.