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Finding the Fourth Proportional to 126,738, 174,898.60 and 78,991.31

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Solution

The fourth proportional to 126,738, 174,898.60 and 78,991.31 is: 109,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,738 : 174,898.60 = 78,991.31 : x
  2. Step 2: Convert to fraction form
    126,738/174,898.60 = 78,991.31/x
  3. Step 3: Cross multiply
    126,738x = 174,898.60 × 78,991.31
  4. Step 4: Simplify right side
    126,738x = 13,815,469,770.93
  5. Step 5: Solve for x
    x = 13,815,469,770.93/126,738
  6. Step 6: Final answer
    x = 109,008.11

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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.