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Finding the Fourth Proportional to 144,173.43, 198,959.76 and 80,513.64

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Solution

The fourth proportional to 144,173.43, 198,959.76 and 80,513.64 is: 111,109.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,173.43 : 198,959.76 = 80,513.64 : x
  2. Step 2: Convert to fraction form
    144,173.43/198,959.76 = 80,513.64/x
  3. Step 3: Cross multiply
    144,173.43x = 198,959.76 × 80,513.64
  4. Step 4: Simplify right side
    144,173.43x = 16,018,974,491.13
  5. Step 5: Solve for x
    x = 16,018,974,491.13/144,173.43
  6. Step 6: Final answer
    x = 111,109.06

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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.