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Finding the Fourth Proportional to 144,342, 199,191.96 and 80,678.43

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Solution

The fourth proportional to 144,342, 199,191.96 and 80,678.43 is: 111,336.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,342 : 199,191.96 = 80,678.43 : x
  2. Step 2: Convert to fraction form
    144,342/199,191.96 = 80,678.43/x
  3. Step 3: Cross multiply
    144,342x = 199,191.96 × 80,678.43
  4. Step 4: Simplify right side
    144,342x = 16,070,494,601.42
  5. Step 5: Solve for x
    x = 16,070,494,601.42/144,342
  6. Step 6: Final answer
    x = 111,336.23

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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.