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Finding the Fourth Proportional to 127,292.68, 190,993.02 and 68,113

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Solution

The fourth proportional to 127,292.68, 190,993.02 and 68,113 is: 102,198.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,292.68 : 190,993.02 = 68,113 : x
  2. Step 2: Convert to fraction form
    127,292.68/190,993.02 = 68,113/x
  3. Step 3: Cross multiply
    127,292.68x = 190,993.02 × 68,113
  4. Step 4: Simplify right side
    127,292.68x = 13,009,107,571.26
  5. Step 5: Solve for x
    x = 13,009,107,571.26/127,292.68
  6. Step 6: Final answer
    x = 102,198.39

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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.