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Finding the Fourth Proportional to 270,760.85, 405,836.74 and 102,166.71

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Solution

The fourth proportional to 270,760.85, 405,836.74 and 102,166.71 is: 153,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,760.85 : 405,836.74 = 102,166.71 : x
  2. Step 2: Convert to fraction form
    270,760.85/405,836.74 = 102,166.71/x
  3. Step 3: Cross multiply
    270,760.85x = 405,836.74 × 102,166.71
  4. Step 4: Simplify right side
    270,760.85x = 41,463,004,522.93
  5. Step 5: Solve for x
    x = 41,463,004,522.93/270,760.85
  6. Step 6: Final answer
    x = 153,135.15

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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.