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Finding the Fourth Proportional to 261,829, 361,324.02 and 142,597

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Solution

The fourth proportional to 261,829, 361,324.02 and 142,597 is: 196,783.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,829 : 361,324.02 = 142,597 : x
  2. Step 2: Convert to fraction form
    261,829/361,324.02 = 142,597/x
  3. Step 3: Cross multiply
    261,829x = 361,324.02 × 142,597
  4. Step 4: Simplify right side
    261,829x = 51,523,721,279.94
  5. Step 5: Solve for x
    x = 51,523,721,279.94/261,829
  6. Step 6: Final answer
    x = 196,783.86

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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.