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Finding the Fourth Proportional to 261,634.72, 361,105.68 and 148,468

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Solution

The fourth proportional to 261,634.72, 361,105.68 and 148,468 is: 204,914.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,634.72 : 361,105.68 = 148,468 : x
  2. Step 2: Convert to fraction form
    261,634.72/361,105.68 = 148,468/x
  3. Step 3: Cross multiply
    261,634.72x = 361,105.68 × 148,468
  4. Step 4: Simplify right side
    261,634.72x = 53,612,638,098.24
  5. Step 5: Solve for x
    x = 53,612,638,098.24/261,634.72
  6. Step 6: Final answer
    x = 204,914.08

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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.