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Finding the Fourth Proportional to 193,188.92, 289,710.57 and 80,876.90

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Solution

The fourth proportional to 193,188.92, 289,710.57 and 80,876.90 is: 121,284.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,188.92 : 289,710.57 = 80,876.90 : x
  2. Step 2: Convert to fraction form
    193,188.92/289,710.57 = 80,876.90/x
  3. Step 3: Cross multiply
    193,188.92x = 289,710.57 × 80,876.90
  4. Step 4: Simplify right side
    193,188.92x = 23,430,892,798.83
  5. Step 5: Solve for x
    x = 23,430,892,798.83/193,188.92
  6. Step 6: Final answer
    x = 121,284.87

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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.