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Finding the Fourth Proportional to 144,144.84, 198,911.52 and 80,486.64

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Solution

The fourth proportional to 144,144.84, 198,911.52 and 80,486.64 is: 111,066.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,144.84 : 198,911.52 = 80,486.64 : x
  2. Step 2: Convert to fraction form
    144,144.84/198,911.52 = 80,486.64/x
  3. Step 3: Cross multiply
    144,144.84x = 198,911.52 × 80,486.64
  4. Step 4: Simplify right side
    144,144.84x = 16,009,719,902.09
  5. Step 5: Solve for x
    x = 16,009,719,902.09/144,144.84
  6. Step 6: Final answer
    x = 111,066.90

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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.