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Finding the Fourth Proportional to 198,157.82, 297,174.28 and 65,007.05

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Solution

The fourth proportional to 198,157.82, 297,174.28 and 65,007.05 is: 97,490.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,157.82 : 297,174.28 = 65,007.05 : x
  2. Step 2: Convert to fraction form
    198,157.82/297,174.28 = 65,007.05/x
  3. Step 3: Cross multiply
    198,157.82x = 297,174.28 × 65,007.05
  4. Step 4: Simplify right side
    198,157.82x = 19,318,421,792.80
  5. Step 5: Solve for x
    x = 19,318,421,792.80/198,157.82
  6. Step 6: Final answer
    x = 97,490.08

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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.