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Finding the Fourth Proportional to 138,660.70, 191,351.80 and 78,244.14

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Solution

The fourth proportional to 138,660.70, 191,351.80 and 78,244.14 is: 107,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,660.70 : 191,351.80 = 78,244.14 : x
  2. Step 2: Convert to fraction form
    138,660.70/191,351.80 = 78,244.14/x
  3. Step 3: Cross multiply
    138,660.70x = 191,351.80 × 78,244.14
  4. Step 4: Simplify right side
    138,660.70x = 14,972,157,028.45
  5. Step 5: Solve for x
    x = 14,972,157,028.45/138,660.70
  6. Step 6: Final answer
    x = 107,976.93

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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.