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Finding the Fourth Proportional to 144,067.68, 198,796.68 and 80,403.30

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Solution

The fourth proportional to 144,067.68, 198,796.68 and 80,403.30 is: 110,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,067.68 : 198,796.68 = 80,403.30 : x
  2. Step 2: Convert to fraction form
    144,067.68/198,796.68 = 80,403.30/x
  3. Step 3: Cross multiply
    144,067.68x = 198,796.68 × 80,403.30
  4. Step 4: Simplify right side
    144,067.68x = 15,983,909,101.04
  5. Step 5: Solve for x
    x = 15,983,909,101.04/144,067.68
  6. Step 6: Final answer
    x = 110,947.22

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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.