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Finding the Fourth Proportional to 202,082.30, 303,123.45 and 148,938.20

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Solution

The fourth proportional to 202,082.30, 303,123.45 and 148,938.20 is: 223,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,082.30 : 303,123.45 = 148,938.20 : x
  2. Step 2: Convert to fraction form
    202,082.30/303,123.45 = 148,938.20/x
  3. Step 3: Cross multiply
    202,082.30x = 303,123.45 × 148,938.20
  4. Step 4: Simplify right side
    202,082.30x = 45,146,661,020.79
  5. Step 5: Solve for x
    x = 45,146,661,020.79/202,082.30
  6. Step 6: Final answer
    x = 223,407.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.