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Finding the Fourth Proportional to 261,960, 361,563.12 and 166,448.04

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Solution

The fourth proportional to 261,960, 361,563.12 and 166,448.04 is: 229,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,960 : 361,563.12 = 166,448.04 : x
  2. Step 2: Convert to fraction form
    261,960/361,563.12 = 166,448.04/x
  3. Step 3: Cross multiply
    261,960x = 361,563.12 × 166,448.04
  4. Step 4: Simplify right side
    261,960x = 60,181,472,660.28
  5. Step 5: Solve for x
    x = 60,181,472,660.28/261,960
  6. Step 6: Final answer
    x = 229,735.35

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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.