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Finding the Fourth Proportional to 143,690.76, 198,293.16 and 83,296.44

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Solution

The fourth proportional to 143,690.76, 198,293.16 and 83,296.44 is: 114,949.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,690.76 : 198,293.16 = 83,296.44 : x
  2. Step 2: Convert to fraction form
    143,690.76/198,293.16 = 83,296.44/x
  3. Step 3: Cross multiply
    143,690.76x = 198,293.16 × 83,296.44
  4. Step 4: Simplify right side
    143,690.76x = 16,517,114,304.35
  5. Step 5: Solve for x
    x = 16,517,114,304.35/143,690.76
  6. Step 6: Final answer
    x = 114,949.04

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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.