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Finding the Fourth Proportional to 144,813.44, 199,839.30 and 84,380.32

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Solution

The fourth proportional to 144,813.44, 199,839.30 and 84,380.32 is: 116,442.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,813.44 : 199,839.30 = 84,380.32 : x
  2. Step 2: Convert to fraction form
    144,813.44/199,839.30 = 84,380.32/x
  3. Step 3: Cross multiply
    144,813.44x = 199,839.30 × 84,380.32
  4. Step 4: Simplify right side
    144,813.44x = 16,862,504,082.58
  5. Step 5: Solve for x
    x = 16,862,504,082.58/144,813.44
  6. Step 6: Final answer
    x = 116,442.95

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1.5x scale

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.