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Finding the Fourth Proportional to 128,936.80, 193,405.20 and 120,188.80

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Solution

The fourth proportional to 128,936.80, 193,405.20 and 120,188.80 is: 180,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,936.80 : 193,405.20 = 120,188.80 : x
  2. Step 2: Convert to fraction form
    128,936.80/193,405.20 = 120,188.80/x
  3. Step 3: Cross multiply
    128,936.80x = 193,405.20 × 120,188.80
  4. Step 4: Simplify right side
    128,936.80x = 23,245,138,901.76
  5. Step 5: Solve for x
    x = 23,245,138,901.76/128,936.80
  6. Step 6: Final answer
    x = 180,283.20

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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.