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Finding the Fourth Proportional to 144,077.70, 198,823.10 and 80,414.14

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Solution

The fourth proportional to 144,077.70, 198,823.10 and 80,414.14 is: 110,969.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,077.70 : 198,823.10 = 80,414.14 : x
  2. Step 2: Convert to fraction form
    144,077.70/198,823.10 = 80,414.14/x
  3. Step 3: Cross multiply
    144,077.70x = 198,823.10 × 80,414.14
  4. Step 4: Simplify right side
    144,077.70x = 15,988,188,598.63
  5. Step 5: Solve for x
    x = 15,988,188,598.63/144,077.70
  6. Step 6: Final answer
    x = 110,969.21

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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.