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Finding the Fourth Proportional to 203,414.73, 280,728.89 and 112,799.10

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Solution

The fourth proportional to 203,414.73, 280,728.89 and 112,799.10 is: 155,671.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,414.73 : 280,728.89 = 112,799.10 : x
  2. Step 2: Convert to fraction form
    203,414.73/280,728.89 = 112,799.10/x
  3. Step 3: Cross multiply
    203,414.73x = 280,728.89 × 112,799.10
  4. Step 4: Simplify right side
    203,414.73x = 31,665,966,136.00
  5. Step 5: Solve for x
    x = 31,665,966,136.00/203,414.73
  6. Step 6: Final answer
    x = 155,671.94

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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.