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Finding the Fourth Proportional to 193,194.64, 289,793.04 and 87,940

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Solution

The fourth proportional to 193,194.64, 289,793.04 and 87,940 is: 131,910.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,194.64 : 289,793.04 = 87,940 : x
  2. Step 2: Convert to fraction form
    193,194.64/289,793.04 = 87,940/x
  3. Step 3: Cross multiply
    193,194.64x = 289,793.04 × 87,940
  4. Step 4: Simplify right side
    193,194.64x = 25,484,399,937.60
  5. Step 5: Solve for x
    x = 25,484,399,937.60/193,194.64
  6. Step 6: Final answer
    x = 131,910.49

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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.