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Finding the Fourth Proportional to 138,462.56, 191,142.12 and 81,093.92

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Solution

The fourth proportional to 138,462.56, 191,142.12 and 81,093.92 is: 111,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,462.56 : 191,142.12 = 81,093.92 : x
  2. Step 2: Convert to fraction form
    138,462.56/191,142.12 = 81,093.92/x
  3. Step 3: Cross multiply
    138,462.56x = 191,142.12 × 81,093.92
  4. Step 4: Simplify right side
    138,462.56x = 15,500,463,787.91
  5. Step 5: Solve for x
    x = 15,500,463,787.91/138,462.56
  6. Step 6: Final answer
    x = 111,946.97

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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.