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Finding the Fourth Proportional to 144,774.75, 199,797.36 and 81,133.05

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Solution

The fourth proportional to 144,774.75, 199,797.36 and 81,133.05 is: 111,968.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,774.75 : 199,797.36 = 81,133.05 : x
  2. Step 2: Convert to fraction form
    144,774.75/199,797.36 = 81,133.05/x
  3. Step 3: Cross multiply
    144,774.75x = 199,797.36 × 81,133.05
  4. Step 4: Simplify right side
    144,774.75x = 16,210,169,198.75
  5. Step 5: Solve for x
    x = 16,210,169,198.75/144,774.75
  6. Step 6: Final answer
    x = 111,968.21

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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.