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Finding the Fourth Proportional to 198,506.50, 273,938.97 and 109,082.50

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Solution

The fourth proportional to 198,506.50, 273,938.97 and 109,082.50 is: 150,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506.50 : 273,938.97 = 109,082.50 : x
  2. Step 2: Convert to fraction form
    198,506.50/273,938.97 = 109,082.50/x
  3. Step 3: Cross multiply
    198,506.50x = 273,938.97 × 109,082.50
  4. Step 4: Simplify right side
    198,506.50x = 29,881,947,695.03
  5. Step 5: Solve for x
    x = 29,881,947,695.03/198,506.50
  6. Step 6: Final answer
    x = 150,533.85

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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.