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Finding the Fourth Proportional to 198,605.44, 297,814.51 and 72,156.52

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Solution

The fourth proportional to 198,605.44, 297,814.51 and 72,156.52 is: 108,200.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.44 : 297,814.51 = 72,156.52 : x
  2. Step 2: Convert to fraction form
    198,605.44/297,814.51 = 72,156.52/x
  3. Step 3: Cross multiply
    198,605.44x = 297,814.51 × 72,156.52
  4. Step 4: Simplify right side
    198,605.44x = 21,489,258,647.11
  5. Step 5: Solve for x
    x = 21,489,258,647.11/198,605.44
  6. Step 6: Final answer
    x = 108,200.76

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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.