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Finding the Fourth Proportional to 144,873.53, 199,945.97 and 80,357.03

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Solution

The fourth proportional to 144,873.53, 199,945.97 and 80,357.03 is: 110,904.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,873.53 : 199,945.97 = 80,357.03 : x
  2. Step 2: Convert to fraction form
    144,873.53/199,945.97 = 80,357.03/x
  3. Step 3: Cross multiply
    144,873.53x = 199,945.97 × 80,357.03
  4. Step 4: Simplify right side
    144,873.53x = 16,067,064,309.67
  5. Step 5: Solve for x
    x = 16,067,064,309.67/144,873.53
  6. Step 6: Final answer
    x = 110,904.07

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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.