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Finding the Fourth Proportional to 198,605.94, 297,815.27 and 72,157.02

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Solution

The fourth proportional to 198,605.94, 297,815.27 and 72,157.02 is: 108,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.94 : 297,815.27 = 72,157.02 : x
  2. Step 2: Convert to fraction form
    198,605.94/297,815.27 = 72,157.02/x
  3. Step 3: Cross multiply
    198,605.94x = 297,815.27 × 72,157.02
  4. Step 4: Simplify right side
    198,605.94x = 21,489,462,032.91
  5. Step 5: Solve for x
    x = 21,489,462,032.91/198,605.94
  6. Step 6: Final answer
    x = 108,201.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.