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Finding the Fourth Proportional to 261,909, 361,434.42 and 142,677

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Solution

The fourth proportional to 261,909, 361,434.42 and 142,677 is: 196,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,909 : 361,434.42 = 142,677 : x
  2. Step 2: Convert to fraction form
    261,909/361,434.42 = 142,677/x
  3. Step 3: Cross multiply
    261,909x = 361,434.42 × 142,677
  4. Step 4: Simplify right side
    261,909x = 51,568,378,742.34
  5. Step 5: Solve for x
    x = 51,568,378,742.34/261,909
  6. Step 6: Final answer
    x = 196,894.26

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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.