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Finding the Fourth Proportional to 127,891.28, 191,892.18 and 68,657.78

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Solution

The fourth proportional to 127,891.28, 191,892.18 and 68,657.78 is: 103,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,891.28 : 191,892.18 = 68,657.78 : x
  2. Step 2: Convert to fraction form
    127,891.28/191,892.18 = 68,657.78/x
  3. Step 3: Cross multiply
    127,891.28x = 191,892.18 × 68,657.78
  4. Step 4: Simplify right side
    127,891.28x = 13,174,891,078.16
  5. Step 5: Solve for x
    x = 13,174,891,078.16/127,891.28
  6. Step 6: Final answer
    x = 103,016.34

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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.