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Finding the Fourth Proportional to 148,150, 204,447 and 81,082

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Solution

The fourth proportional to 148,150, 204,447 and 81,082 is: 111,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,150 : 204,447 = 81,082 : x
  2. Step 2: Convert to fraction form
    148,150/204,447 = 81,082/x
  3. Step 3: Cross multiply
    148,150x = 204,447 × 81,082
  4. Step 4: Simplify right side
    148,150x = 16,576,971,654
  5. Step 5: Solve for x
    x = 16,576,971,654/148,150
  6. Step 6: Final answer
    x = 111,893.16

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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.