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Finding the Fourth Proportional to 138,523.62, 191,163.33 and 81,196.74

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Solution

The fourth proportional to 138,523.62, 191,163.33 and 81,196.74 is: 112,051.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,523.62 : 191,163.33 = 81,196.74 : x
  2. Step 2: Convert to fraction form
    138,523.62/191,163.33 = 81,196.74/x
  3. Step 3: Cross multiply
    138,523.62x = 191,163.33 × 81,196.74
  4. Step 4: Simplify right side
    138,523.62x = 15,521,839,203.54
  5. Step 5: Solve for x
    x = 15,521,839,203.54/138,523.62
  6. Step 6: Final answer
    x = 112,051.93

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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.