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Finding the Fourth Proportional to 193,521.25, 290,207.31 and 75,177.01

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Solution

The fourth proportional to 193,521.25, 290,207.31 and 75,177.01 is: 112,736.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,521.25 : 290,207.31 = 75,177.01 : x
  2. Step 2: Convert to fraction form
    193,521.25/290,207.31 = 75,177.01/x
  3. Step 3: Cross multiply
    193,521.25x = 290,207.31 × 75,177.01
  4. Step 4: Simplify right side
    193,521.25x = 21,816,917,845.94
  5. Step 5: Solve for x
    x = 21,816,917,845.94/193,521.25
  6. Step 6: Final answer
    x = 112,736.55

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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.