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Finding the Fourth Proportional to 144,542.16, 199,468.43 and 80,880

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Solution

The fourth proportional to 144,542.16, 199,468.43 and 80,880 is: 111,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,542.16 : 199,468.43 = 80,880 : x
  2. Step 2: Convert to fraction form
    144,542.16/199,468.43 = 80,880/x
  3. Step 3: Cross multiply
    144,542.16x = 199,468.43 × 80,880
  4. Step 4: Simplify right side
    144,542.16x = 16,133,006,214
  5. Step 5: Solve for x
    x = 16,133,006,214/144,542.16
  6. Step 6: Final answer
    x = 111,614.54

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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.