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Finding the Fourth Proportional to 144,185.81, 198,976.77 and 80,525.88

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Solution

The fourth proportional to 144,185.81, 198,976.77 and 80,525.88 is: 111,125.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,185.81 : 198,976.77 = 80,525.88 : x
  2. Step 2: Convert to fraction form
    144,185.81/198,976.77 = 80,525.88/x
  3. Step 3: Cross multiply
    144,185.81x = 198,976.77 × 80,525.88
  4. Step 4: Simplify right side
    144,185.81x = 16,022,779,503.81
  5. Step 5: Solve for x
    x = 16,022,779,503.81/144,185.81
  6. Step 6: Final answer
    x = 111,125.91

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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.