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Finding the Fourth Proportional to 198,605.66, 297,814.61 and 72,157.70

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Solution

The fourth proportional to 198,605.66, 297,814.61 and 72,157.70 is: 108,202.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,605.66 : 297,814.61 = 72,157.70 : x
  2. Step 2: Convert to fraction form
    198,605.66/297,814.61 = 72,157.70/x
  3. Step 3: Cross multiply
    198,605.66x = 297,814.61 × 72,157.70
  4. Step 4: Simplify right side
    198,605.66x = 21,489,618,208.93
  5. Step 5: Solve for x
    x = 21,489,618,208.93/198,605.66
  6. Step 6: Final answer
    x = 108,202.45

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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.