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Finding the Fourth Proportional to 144,758.88, 199,766.16 and 81,097.20

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Solution

The fourth proportional to 144,758.88, 199,766.16 and 81,097.20 is: 111,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,758.88 : 199,766.16 = 81,097.20 : x
  2. Step 2: Convert to fraction form
    144,758.88/199,766.16 = 81,097.20/x
  3. Step 3: Cross multiply
    144,758.88x = 199,766.16 × 81,097.20
  4. Step 4: Simplify right side
    144,758.88x = 16,200,476,230.75
  5. Step 5: Solve for x
    x = 16,200,476,230.75/144,758.88
  6. Step 6: Final answer
    x = 111,913.52

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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.