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Finding the Fourth Proportional to 127,964.70, 191,947.03 and 68,718.87

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Solution

The fourth proportional to 127,964.70, 191,947.03 and 68,718.87 is: 103,078.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,964.70 : 191,947.03 = 68,718.87 : x
  2. Step 2: Convert to fraction form
    127,964.70/191,947.03 = 68,718.87/x
  3. Step 3: Cross multiply
    127,964.70x = 191,947.03 × 68,718.87
  4. Step 4: Simplify right side
    127,964.70x = 13,190,382,829.66
  5. Step 5: Solve for x
    x = 13,190,382,829.66/127,964.70
  6. Step 6: Final answer
    x = 103,078.29

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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.