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Finding the Fourth Proportional to 261,505.98, 392,469.16 and 135,183.38

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Solution

The fourth proportional to 261,505.98, 392,469.16 and 135,183.38 is: 202,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,505.98 : 392,469.16 = 135,183.38 : x
  2. Step 2: Convert to fraction form
    261,505.98/392,469.16 = 135,183.38/x
  3. Step 3: Cross multiply
    261,505.98x = 392,469.16 × 135,183.38
  4. Step 4: Simplify right side
    261,505.98x = 53,055,307,594.56
  5. Step 5: Solve for x
    x = 53,055,307,594.56/261,505.98
  6. Step 6: Final answer
    x = 202,883.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.