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Finding the Fourth Proportional to 144,079.49, 198,811.36 and 80,419.97

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Solution

The fourth proportional to 144,079.49, 198,811.36 and 80,419.97 is: 110,969.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,079.49 : 198,811.36 = 80,419.97 : x
  2. Step 2: Convert to fraction form
    144,079.49/198,811.36 = 80,419.97/x
  3. Step 3: Cross multiply
    144,079.49x = 198,811.36 × 80,419.97
  4. Step 4: Simplify right side
    144,079.49x = 15,988,404,204.41
  5. Step 5: Solve for x
    x = 15,988,404,204.41/144,079.49
  6. Step 6: Final answer
    x = 110,969.33

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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.