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Finding the Fourth Proportional to 261,995, 361,553.10 and 142,763

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Solution

The fourth proportional to 261,995, 361,553.10 and 142,763 is: 197,012.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,995 : 361,553.10 = 142,763 : x
  2. Step 2: Convert to fraction form
    261,995/361,553.10 = 142,763/x
  3. Step 3: Cross multiply
    261,995x = 361,553.10 × 142,763
  4. Step 4: Simplify right side
    261,995x = 51,616,405,215.30
  5. Step 5: Solve for x
    x = 51,616,405,215.30/261,995
  6. Step 6: Final answer
    x = 197,012.94

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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.