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Finding the Fourth Proportional to 127,291.68, 190,991.52 and 68,112

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Solution

The fourth proportional to 127,291.68, 190,991.52 and 68,112 is: 102,196.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,291.68 : 190,991.52 = 68,112 : x
  2. Step 2: Convert to fraction form
    127,291.68/190,991.52 = 68,112/x
  3. Step 3: Cross multiply
    127,291.68x = 190,991.52 × 68,112
  4. Step 4: Simplify right side
    127,291.68x = 13,008,814,410.24
  5. Step 5: Solve for x
    x = 13,008,814,410.24/127,291.68
  6. Step 6: Final answer
    x = 102,196.89

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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.