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Finding the Fourth Proportional to 128,644.60, 192,974.48 and 49,759.24

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Solution

The fourth proportional to 128,644.60, 192,974.48 and 49,759.24 is: 74,641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,644.60 : 192,974.48 = 49,759.24 : x
  2. Step 2: Convert to fraction form
    128,644.60/192,974.48 = 49,759.24/x
  3. Step 3: Cross multiply
    128,644.60x = 192,974.48 × 49,759.24
  4. Step 4: Simplify right side
    128,644.60x = 9,602,263,464.20
  5. Step 5: Solve for x
    x = 9,602,263,464.20/128,644.60
  6. Step 6: Final answer
    x = 74,641.79

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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.