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Finding the Fourth Proportional to 127,991.54, 191,974.34 and 34,506.74

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Solution

The fourth proportional to 127,991.54, 191,974.34 and 34,506.74 is: 51,756.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,991.54 : 191,974.34 = 34,506.74 : x
  2. Step 2: Convert to fraction form
    127,991.54/191,974.34 = 34,506.74/x
  3. Step 3: Cross multiply
    127,991.54x = 191,974.34 × 34,506.74
  4. Step 4: Simplify right side
    127,991.54x = 6,624,408,637.05
  5. Step 5: Solve for x
    x = 6,624,408,637.05/127,991.54
  6. Step 6: Final answer
    x = 51,756.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.