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Finding the Fourth Proportional to 193,785.60, 290,721.60 and 75,446.40

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Solution

The fourth proportional to 193,785.60, 290,721.60 and 75,446.40 is: 113,186.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,785.60 : 290,721.60 = 75,446.40 : x
  2. Step 2: Convert to fraction form
    193,785.60/290,721.60 = 75,446.40/x
  3. Step 3: Cross multiply
    193,785.60x = 290,721.60 × 75,446.40
  4. Step 4: Simplify right side
    193,785.60x = 21,933,898,122.24
  5. Step 5: Solve for x
    x = 21,933,898,122.24/193,785.60
  6. Step 6: Final answer
    x = 113,186.42

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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.