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Finding the Fourth Proportional to 138,643.79, 191,351.97 and 78,231.56

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Solution

The fourth proportional to 138,643.79, 191,351.97 and 78,231.56 is: 107,972.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,643.79 : 191,351.97 = 78,231.56 : x
  2. Step 2: Convert to fraction form
    138,643.79/191,351.97 = 78,231.56/x
  3. Step 3: Cross multiply
    138,643.79x = 191,351.97 × 78,231.56
  4. Step 4: Simplify right side
    138,643.79x = 14,969,762,165.41
  5. Step 5: Solve for x
    x = 14,969,762,165.41/138,643.79
  6. Step 6: Final answer
    x = 107,972.83

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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.