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Finding the Fourth Proportional to 261,684, 361,123.92 and 142,452

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Solution

The fourth proportional to 261,684, 361,123.92 and 142,452 is: 196,583.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,684 : 361,123.92 = 142,452 : x
  2. Step 2: Convert to fraction form
    261,684/361,123.92 = 142,452/x
  3. Step 3: Cross multiply
    261,684x = 361,123.92 × 142,452
  4. Step 4: Simplify right side
    261,684x = 51,442,824,651.84
  5. Step 5: Solve for x
    x = 51,442,824,651.84/261,684
  6. Step 6: Final answer
    x = 196,583.76

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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.