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Finding the Fourth Proportional to 144,172.46, 198,954.14 and 79,640.30

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Solution

The fourth proportional to 144,172.46, 198,954.14 and 79,640.30 is: 109,901.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,172.46 : 198,954.14 = 79,640.30 : x
  2. Step 2: Convert to fraction form
    144,172.46/198,954.14 = 79,640.30/x
  3. Step 3: Cross multiply
    144,172.46x = 198,954.14 × 79,640.30
  4. Step 4: Simplify right side
    144,172.46x = 15,844,766,997.64
  5. Step 5: Solve for x
    x = 15,844,766,997.64/144,172.46
  6. Step 6: Final answer
    x = 109,901.49

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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.