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Finding the Fourth Proportional to 144,649.92, 199,614.66 and 80,990

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Solution

The fourth proportional to 144,649.92, 199,614.66 and 80,990 is: 111,764.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,649.92 : 199,614.66 = 80,990 : x
  2. Step 2: Convert to fraction form
    144,649.92/199,614.66 = 80,990/x
  3. Step 3: Cross multiply
    144,649.92x = 199,614.66 × 80,990
  4. Step 4: Simplify right side
    144,649.92x = 16,166,791,313.40
  5. Step 5: Solve for x
    x = 16,166,791,313.40/144,649.92
  6. Step 6: Final answer
    x = 111,764.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.