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Finding the Fourth Proportional to 144,198.51, 198,992.81 and 83,804.51

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Solution

The fourth proportional to 144,198.51, 198,992.81 and 83,804.51 is: 115,649.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,198.51 : 198,992.81 = 83,804.51 : x
  2. Step 2: Convert to fraction form
    144,198.51/198,992.81 = 83,804.51/x
  3. Step 3: Cross multiply
    144,198.51x = 198,992.81 × 83,804.51
  4. Step 4: Simplify right side
    144,198.51x = 16,676,493,521.59
  5. Step 5: Solve for x
    x = 16,676,493,521.59/144,198.51
  6. Step 6: Final answer
    x = 115,649.56

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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.