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Finding the Fourth Proportional to 261,969, 361,517.22 and 142,737

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Solution

The fourth proportional to 261,969, 361,517.22 and 142,737 is: 196,977.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,969 : 361,517.22 = 142,737 : x
  2. Step 2: Convert to fraction form
    261,969/361,517.22 = 142,737/x
  3. Step 3: Cross multiply
    261,969x = 361,517.22 × 142,737
  4. Step 4: Simplify right side
    261,969x = 51,601,883,431.14
  5. Step 5: Solve for x
    x = 51,601,883,431.14/261,969
  6. Step 6: Final answer
    x = 196,977.06

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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.