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Finding the Fourth Proportional to 128,735.36, 193,103.02 and 49,849.58

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Solution

The fourth proportional to 128,735.36, 193,103.02 and 49,849.58 is: 74,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,735.36 : 193,103.02 = 49,849.58 : x
  2. Step 2: Convert to fraction form
    128,735.36/193,103.02 = 49,849.58/x
  3. Step 3: Cross multiply
    128,735.36x = 193,103.02 × 49,849.58
  4. Step 4: Simplify right side
    128,735.36x = 9,626,104,443.73
  5. Step 5: Solve for x
    x = 9,626,104,443.73/128,735.36
  6. Step 6: Final answer
    x = 74,774.36

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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.