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Finding the Fourth Proportional to 198,690.54, 274,294.50 and 153,266.56

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Solution

The fourth proportional to 198,690.54, 274,294.50 and 153,266.56 is: 211,586.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,690.54 : 274,294.50 = 153,266.56 : x
  2. Step 2: Convert to fraction form
    198,690.54/274,294.50 = 153,266.56/x
  3. Step 3: Cross multiply
    198,690.54x = 274,294.50 × 153,266.56
  4. Step 4: Simplify right side
    198,690.54x = 42,040,174,441.92
  5. Step 5: Solve for x
    x = 42,040,174,441.92/198,690.54
  6. Step 6: Final answer
    x = 211,586.19

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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.