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Finding the Fourth Proportional to 144,146.84, 198,914.28 and 80,488.64

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Solution

The fourth proportional to 144,146.84, 198,914.28 and 80,488.64 is: 111,069.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,146.84 : 198,914.28 = 80,488.64 : x
  2. Step 2: Convert to fraction form
    144,146.84/198,914.28 = 80,488.64/x
  3. Step 3: Cross multiply
    144,146.84x = 198,914.28 × 80,488.64
  4. Step 4: Simplify right side
    144,146.84x = 16,010,339,873.78
  5. Step 5: Solve for x
    x = 16,010,339,873.78/144,146.84
  6. Step 6: Final answer
    x = 111,069.66

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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.