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Finding the Fourth Proportional to 144,649.41, 199,604.70 and 80,978.55

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Solution

The fourth proportional to 144,649.41, 199,604.70 and 80,978.55 is: 111,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,649.41 : 199,604.70 = 80,978.55 : x
  2. Step 2: Convert to fraction form
    144,649.41/199,604.70 = 80,978.55/x
  3. Step 3: Cross multiply
    144,649.41x = 199,604.70 × 80,978.55
  4. Step 4: Simplify right side
    144,649.41x = 16,163,699,179.19
  5. Step 5: Solve for x
    x = 16,163,699,179.19/144,649.41
  6. Step 6: Final answer
    x = 111,743.97

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1.5x scale

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.