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Finding the Fourth Proportional to 128,996.36, 193,569.26 and 54,109.84

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Solution

The fourth proportional to 128,996.36, 193,569.26 and 54,109.84 is: 81,196.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,996.36 : 193,569.26 = 54,109.84 : x
  2. Step 2: Convert to fraction form
    128,996.36/193,569.26 = 54,109.84/x
  3. Step 3: Cross multiply
    128,996.36x = 193,569.26 × 54,109.84
  4. Step 4: Simplify right side
    128,996.36x = 10,474,001,687.52
  5. Step 5: Solve for x
    x = 10,474,001,687.52/128,996.36
  6. Step 6: Final answer
    x = 81,196.10

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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.