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Finding the Fourth Proportional to 261,717, 361,169.48 and 142,485

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Solution

The fourth proportional to 261,717, 361,169.48 and 142,485 is: 196,629.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,717 : 361,169.48 = 142,485 : x
  2. Step 2: Convert to fraction form
    261,717/361,169.48 = 142,485/x
  3. Step 3: Cross multiply
    261,717x = 361,169.48 × 142,485
  4. Step 4: Simplify right side
    261,717x = 51,461,233,357.80
  5. Step 5: Solve for x
    x = 51,461,233,357.80/261,717
  6. Step 6: Final answer
    x = 196,629.31

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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.