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Finding the Fourth Proportional to 261,635.72, 361,107.06 and 148,469

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Solution

The fourth proportional to 261,635.72, 361,107.06 and 148,469 is: 204,915.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,635.72 : 361,107.06 = 148,469 : x
  2. Step 2: Convert to fraction form
    261,635.72/361,107.06 = 148,469/x
  3. Step 3: Cross multiply
    261,635.72x = 361,107.06 × 148,469
  4. Step 4: Simplify right side
    261,635.72x = 53,613,204,091.14
  5. Step 5: Solve for x
    x = 53,613,204,091.14/261,635.72
  6. Step 6: Final answer
    x = 204,915.46

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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.