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Finding the Fourth Proportional to 193,460.61, 289,847.70 and 80,892.75

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Solution

The fourth proportional to 193,460.61, 289,847.70 and 80,892.75 is: 121,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,460.61 : 289,847.70 = 80,892.75 : x
  2. Step 2: Convert to fraction form
    193,460.61/289,847.70 = 80,892.75/x
  3. Step 3: Cross multiply
    193,460.61x = 289,847.70 × 80,892.75
  4. Step 4: Simplify right side
    193,460.61x = 23,446,577,534.18
  5. Step 5: Solve for x
    x = 23,446,577,534.18/193,460.61
  6. Step 6: Final answer
    x = 121,195.61

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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.