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Finding the Fourth Proportional to 270,759.85, 405,835.25 and 102,165.71

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Solution

The fourth proportional to 270,759.85, 405,835.25 and 102,165.71 is: 153,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,759.85 : 405,835.25 = 102,165.71 : x
  2. Step 2: Convert to fraction form
    270,759.85/405,835.25 = 102,165.71/x
  3. Step 3: Cross multiply
    270,759.85x = 405,835.25 × 102,165.71
  4. Step 4: Simplify right side
    270,759.85x = 41,462,443,919.27
  5. Step 5: Solve for x
    x = 41,462,443,919.27/270,759.85
  6. Step 6: Final answer
    x = 153,133.65

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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.